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question:Bryan bought 5 t-shirts and 4 pairs of pants for 1500. If a t-shirt costs 100, how much does each pair of pants cost?
answer:Let's denote the cost of each pair of pants as x.The total cost of 5 t-shirts is 5 * 100 = 500.The total cost of 4 pairs of pants is 4x.The total cost of both t-shirts and pants together is 1500.So 500 + 4x = 1500.Subtracting 500 from both sides gives 4x = 1000.Dividing both sides by 4 gives x = 250.So each pair of pants costs boxed{250} dollars.
question:Alex has three ceiling fans in his living room, and all of them need new blades. He needs 2 sets of small blades and 1 set of large blades. He has 80 to spend. If small blades cost 10 per set and large blades cost 18 per set, how much money will Alex have left over?
answer:To find out how much money Alex will have left over, we need to calculate the total cost of the blades he needs.He needs 2 sets of small blades at 10 per set, so the cost of small blades is 2 x 10 = 20.He needs 1 set of large blades at 18 per set, so the cost of large blades is 18.The total cost of blades is 20 + 18 = 38.Alex has 80 to spend, so he will have 80 - 38 = 42 left over.Thus, Alex will have boxed{42} dollars left over.
question:Jenny lives 5000 feet from her school, and every day she walks home. One day as she was walking home from school, she dropped 1 kernel of popcorn per 25 feet she walked. Later that evening, a squirrel came and ate one-quarter of the popcorn Jenny had dropped on her way home. If Jenny walks to school the following morning and counts the popcorn on the ground, what is the total number of popcorn kernels she will find remaining on the ground?
answer:Since Jenny drops 1 kernel of popcorn for every 25 feet she walks, and she lives 5000 feet from school, she dropped a total of 5000/25 kernels on her way home.We compute 5000/25 as 200.So she dropped 200 kernels of popcorn.The squirrel ate one quarter of these.So the squirrel ate 200 * 25 / 100 = 5000 / 100 = 50 kernels.Thus, Jenny will find 200 - 50 = 150 kernels on the ground.So the answer is boxed{150}.
question:Alex has 30. Emma has 20. If Alex gives Emma a third of what he has, Emma will have more than Alex. But Emma spends 8. How much more money does Emma have than Alex?
answer:Let's break down the problem step by step.Initially, Alex has 30 and Emma has 20.Alex gives Emma a third of what he has, which is 30 / 3 = 10.So, Emma now has 20 + 10 = 30.Alex now has 30 - 10 = 20.But Emma spends 8, so she now has 30 - 8 = 22.Now, let's compare the amounts Alex and Emma have. Alex has 20, and Emma has 22.The difference between the two amounts is 22 - 20 = 2.So, Emma has boxed{2} dollars more than Alex.
question:Alex made 6 whole apple pies. He sold 2 whole apple pies and gave 1 whole apple pie to his neighbor. The remaining whole apple pies were each sliced into 8 pieces. His family ate 3/4 of the pieces. How many pieces of apple pie were left?
answer:Alex had 6 whole apple pies initially.He sold 2 whole apple pies and gave 1 whole apple pie to his neighbor.So the number of whole apple pies remaining is 6 - 2 - 1 = 4 - 1 = 3.Each of these 3 whole apple pies was sliced into 8 pieces.So the total number of pieces is 3 * 8 = 24.Alex's family ate 3/4 of the pieces, i.e. 24 * 3 / 4 = 72 / 4 = 18 pieces.Thus the number of pieces left is 24 - 18 = 6.Thus, there are boxed{6} pieces of apple pie left.
question:Emily is getting ready for a party and wants to style her hair. She applies a hair mask that needs to sit for 10 minutes, uses a hair straightener that takes 4 minutes for each section of her hair (she has 3 sections), and finishes with a hairspray that takes 2 minutes to set. How many minutes total does Emily spend waiting for her hair treatments to take effect?
answer:Let's break down the time spent waiting for each hair treatment:* Hair mask: 10 minutes* Hair straightener: 4 minutes per section, and she has 3 sections, so 4 * 3 = 12 minutes* Hairspray: 2 minutesAdding up the total time spent waiting for the treatments to take effect: 10 + 12 + 2 = 22 + 2 = 24 minutesThus, Emily spends boxed{24} minutes total waiting for her hair treatments to take effect.