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question:A pollster is analyzing public opinion data to help a political campaign decide on messaging strategies. The pollster surveyed 200 people, and found that 60% of them support Policy A, while the remaining people support Policy B. The campaign wants to send out targeted messages to the supporters of each policy. If each message costs 0.50 to send, how much will it cost the campaign to send messages to all the supporters of Policy A and Policy B?
answer:To solve this problem, we need to calculate the number of supporters for each policy (Policy A and Policy B) based on the survey results, and then determine the total cost to send messages to all supporters.Step 1: Calculate the number of supporters for Policy A.- According to the survey, 60% of the 200 people support Policy A.- Number of supporters for Policy A = 60% of 200- Convert percentage to decimal: 60% = 0.60- Number of supporters for Policy A = 0.60 × 200 = 120 peopleStep 2: Calculate the number of supporters for Policy B.- The remaining people support Policy B.- Since 60% support Policy A, 100% - 60% = 40% support Policy B.- Number of supporters for Policy B = 40% of 200- Convert percentage to decimal: 40% = 0.40- Number of supporters for Policy B = 0.40 × 200 = 80 peopleStep 3: Calculate the total cost to send messages.- Each message costs 0.50 to send.- Total number of messages = number of supporters for Policy A + number of supporters for Policy B- Total number of messages = 120 (supporters of Policy A) + 80 (supporters of Policy B) = 200 messages- Total cost to send messages = 200 messages × 0.50 per message = 100# 100
question:Sarah is a first-time mom who wants to engage her newborn, Oliver, through play. She decides to set up a colorful play area with different toys for each day of the week. On Monday, she places 2 soft blocks and 3 rattles in the play area. On Tuesday, she adds 4 more soft blocks and 2 more rattles. On Wednesday, she decides to double the total number of toys from Tuesday. How many toys does Oliver have in his play area on Wednesday?
answer:To find out how many toys Oliver has in his play area on Wednesday, we need to follow the steps given in the problem statement and calculate the total number of toys for each day.Step 1: Calculate the total number of toys on Monday.- On Monday, Sarah places 2 soft blocks and 3 rattles in the play area.- Total toys on Monday = Number of soft blocks + Number of rattles- Total toys on Monday = 2 + 3 = 5 toysStep 2: Calculate the total number of toys on Tuesday.- On Tuesday, Sarah adds 4 more soft blocks and 2 more rattles to the play area.- Total toys on Tuesday = (Total toys from Monday) + (Additional soft blocks) + (Additional rattles)- Total toys on Tuesday = 5 + 4 + 2 = 11 toysStep 3: Calculate the total number of toys on Wednesday.- On Wednesday, Sarah decides to double the total number of toys from Tuesday.- Total toys on Wednesday = 2 × (Total toys on Tuesday)- Total toys on Wednesday = 2 × 11 = 22 toysTherefore, on Wednesday, Oliver has 22 toys in his play area.# 22
question:An influencer who lobbies for new health policies is working on a project with an international aid organization to distribute health kits to various countries. They plan to send 1,200 health kits to three countries: Country A, Country B, and Country C. For Country A, they allocate 40% of the kits, for Country B, they allocate 35%, and the rest go to Country C. How many health kits does each country receive?
answer:To solve the problem, we need to determine how many health kits each of the three countries receives based on the percentages allocated to them.1. Total number of health kits: The total number of health kits to be distributed is 1,200.2. Allocation to Country A: - Country A receives 40% of the total kits. - Calculate 40% of 1,200: [ text{Kits for Country A} = 0.40 times 1,200 = 480 ]3. Allocation to Country B: - Country B receives 35% of the total kits. - Calculate 35% of 1,200: [ text{Kits for Country B} = 0.35 times 1,200 = 420 ]4. Allocation to Country C: - The remaining kits go to Country C. - First, we determine the total percentage allocated to Country A and Country B: [ text{Total percentage for A and B} = 40% + 35% = 75% ] - Therefore, the percentage allocated to Country C is: [ 100% - 75% = 25% ] - Calculate 25% of 1,200: [ text{Kits for Country C} = 0.25 times 1,200 = 300 ]Now we have the number of health kits each country receives:- Country A receives 480 kits.- Country B receives 420 kits.- Country C receives 300 kits.# Country A: 480 kits, Country B: 420 kits, Country C: 300 kits
question:A labor union representative is evaluating the impact of protectionist policies on the local job market. Before the policies were implemented, a local factory employed 150 workers, each earning an average wage of 20 per hour. After the policies were enacted, the factory was able to protect 20% more jobs, and the average wage increased by 10%. How many workers are now employed at the factory, and what is the new average wage per hour for the workers? Calculate the total increase in wages paid per hour by the factory due to the protectionist policies.
answer:To solve this problem, we need to determine the number of workers employed and the new average wage per hour after the protectionist policies, then calculate the total increase in wages paid per hour.Step 1: Calculate the number of workers after the protectionist policies.- Initially, the factory employed 150 workers.- The factory was able to protect 20% more jobs. To find the increased number of workers:[ text{Increase in workers} = 150 times 0.20 = 30 ]Add this increase to the original number of workers:[ text{Total workers after policies} = 150 + 30 = 180 ]Step 2: Calculate the new average wage per hour.- Initially, the average wage was 20 per hour.- The average wage increased by 10%.To find the new average wage:[ text{Increase in wage} = 20 times 0.10 = 2 ]Add this increase to the original wage:[ text{New average wage} = 20 + 2 = 22 ]Step 3: Calculate the total increase in wages paid per hour.- Calculate the original total wages paid per hour:[ text{Original total wages per hour} = 150 times 20 = 3000 ]- Calculate the new total wages paid per hour:[ text{New total wages per hour} = 180 times 22 = 3960 ]- Calculate the total increase in wages paid per hour:[ text{Increase in total wages per hour} = 3960 - 3000 = 960 ]The factory now employs 180 workers, the new average wage is 22 per hour, and the total increase in wages paid per hour is 960.# 180, 22, 960
question:A skilled blacksmith is responsible for trimming and shoeing the hooves of Arabian horses. Each Arabian horse has 4 hooves that need to be trimmed and shoed. The blacksmith can trim and shoe 1 hoof in 15 minutes. If the blacksmith has to work on 6 Arabian horses today, how many hours will it take for the blacksmith to finish trimming and shoeing all the hooves of these horses?
answer:To solve this problem, we need to calculate the total time the blacksmith will spend working on the hooves of all 6 Arabian horses and then convert that time into hours.Step 1: Calculate the total number of hooves.Each Arabian horse has 4 hooves. Therefore, for 6 Arabian horses, the total number of hooves is:[ 6 text{ horses} times 4 text{ hooves per horse} = 24 text{ hooves}.]Step 2: Calculate the total time in minutes to trim and shoe all hooves.The blacksmith takes 15 minutes to trim and shoe each hoof. Therefore, the total time for 24 hooves is:[ 24 text{ hooves} times 15 text{ minutes per hoof} = 360 text{ minutes}.]Step 3: Convert the total time from minutes to hours.There are 60 minutes in an hour. Thus, the time in hours is:[ frac{360 text{ minutes}}{60 text{ minutes per hour}} = 6 text{ hours}.]Therefore, the blacksmith will take 6 hours to trim and shoe all the hooves of the 6 Arabian horses.# 6
question:Fire Department Officer Sam is organizing a special memorial event to honor the 5 colleagues he lost in the line of duty. For the event, he plans to set up 4 rows of chairs, with each row having 8 chairs. Additionally, Sam wants to place a bouquet of flowers on every third chair. How many bouquets of flowers does Sam need for the event?
answer:To solve the problem, we first need to determine the total number of chairs that Sam has set up and then calculate how many bouquets of flowers are required based on the condition provided.1. Calculate the total number of chairs: There are 4 rows of chairs, and each row has 8 chairs. Therefore, the total number of chairs is: [ 4 times 8 = 32 ]2. Determine how many chairs need bouquets: Sam wants to place a bouquet of flowers on every third chair. To find the number of chairs that receive bouquets, we need to consider the sequence of chairs: - The chairs that will receive bouquets are the 3rd, 6th, 9th, ..., up to the last chair that is a multiple of 3.3. Calculate which chairs receive bouquets: We need to determine how many multiples of 3 there are from 1 to 32. The multiples of 3 within this range are: 3, 6, 9, 12, 15, 18, 21, 24, 27, and 30.4. Count the number of multiples of 3: By listing these multiples, we can count them to find that there are 10 such numbers.Thus, Sam needs 10 bouquets of flowers for the event.# 10