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question:Dominic mixes 3 teaspoons of lemonade powder with 24 teaspoons of water in a pitcher. He lets it sit for a while, resulting in 6 teaspoons of water evaporating. Then, he triples the amount of water in the pitcher. What percentage of the liquid in the pitcher is lemonade powder?
answer:Let's break down the problem step by step.Initially, there are 3 teaspoons of lemonade powder and 24 teaspoons of water in the pitcher.After 6 teaspoons of water evaporate, there are 3 teaspoons of lemonade powder and 24 - 6 = 18 teaspoons of water left.Then, Dominic triples the amount of water, so the amount of water becomes 3 * 18 = 54 teaspoons.The amount of lemonade powder remains the same, which is 3 teaspoons.Now, we need to find the percentage of the liquid in the pitcher that is lemonade powder.The total amount of liquid is 3 (lemonade powder) + 54 (water) = 57 teaspoons.The percentage of lemonade powder is (3 / 57) * 100% ≈ 5.26%.So, the percentage of the liquid in the pitcher that is lemonade powder is boxed{5.26}%.
question:Emily purchased a new calculator, 2 packs of highlighters, 2 packs of sticky notes, and 4 binders for college. The calculator costs 25, the highlighters cost 2.00 each, and the sticky notes cost 0.50 each. If Emily spent a total of 55, how much did each binder cost?
answer:Let's denote the cost of each binder as x.Emily purchased a new calculator for 25, 2 packs of highlighters for 2 each, 2 packs of sticky notes for 0.50 each, and 4 binders for x each.The total cost of highlighters is 2 * 2 = 4.The total cost of sticky notes is 2 * 0.50 = 1.The total cost of binders is 4 * x = 4x.The total cost of all items is 25 + 4 + 1 + 4x = 30 + 4x.As the problem states, this total amounts to 55.So 55 = 30 + 4x which implies 4x = 25 and thus x = 25/4 = 6.25.Thus, each binder costs boxed{6.25} dollars.
question:Eva is at the farmer's market. If she buys 3 baskets of strawberries for 3 each and 4 bunches of grapes for 1.50 each, how much does she spend?
answer:Let's calculate the cost of the strawberries and grapes separately and then add them up.The cost of 3 baskets of strawberries at 3 each is 3 * 3 = 9.The cost of 4 bunches of grapes at 1.50 each is 4 * 1.50 = 6.So the total cost is 9 + 6 = 15.Thus, Eva spends boxed{15} dollars.
question:Ava's mom packs her 15 apples every day for lunch, and her friend Liam's dad gives him 25 bananas every day. If Ava and Liam receive these fruits for 45 days, how many fruits do they have in total to eat during that period?
answer:Ava receives 15 apples every day for 45 days, so she has 15 * 45 = 675 apples.Liam receives 25 bananas every day for 45 days, so he has 25 * 45 = 1125 bananas.The total number of fruits is the sum of the number of apples and bananas, which is 675 + 1125 = 1800.Thus, Ava and Liam have boxed{1800} fruits in total to eat during that period.
question:Astrid's age was 5 years more than three times her younger sister's age when her sister was 3. If her younger sister is currently 12 years old, what's the sum of their ages?
answer:When Astrid's sister was 3 years old, Astrid's age was 5 years more than three times her sister's age.So, Astrid's age at that time was 3 * 3 + 5 = 9 + 5 = 14.Now her sister is 12 years old, meaning 9 years have passed since her sister was 3 years old.So Astrid's age now is 14 + 9 = 23.Thus, the sum of their ages now is 23 + 12 = 35.Therefore, the sum of their ages is boxed{35}.
question:Alex has 60. She spends 18 on a gift for her friend, 8 on a snack for herself, and 12 on a book. Her sister Mia has 80 and only spends 10 on a gift for their mom. How much more money does Mia have left than Alex?
answer:To find out how much money each has left, we need to subtract their expenses from their initial amounts.Alex started with 60 and spent 18 + 8 + 12 = 38. So, she has 60 - 38 = 22 left.Mia started with 80 and spent 10. So, she has 80 - 10 = 70 left.The difference between the amount of money Mia has left and the amount Alex has left is 70 - 22 = 48.Thus, Mia has boxed{48} dollars more than Alex.