Q: The difference in the number of pens that Alice and Clara each have matches their age difference. Alice has 60 pens and Clara has 2/5 times as many pens as Alice. If Alice's age is 20 and Clara is older than Alice, calculate Clara's age in 5 years to come.
A: If Alice has 60 pens, Clara 2 / 5 * 60 = 24 pens. The number of pens that Alice has more than Clara is 60 - 24 = 36. Since Alice is 20, and the number of pens that Alice has more than Clara is their age difference, Clara is 20 + 36 = 56 years old. In five years, Clara's age will be 56 + 5 = 61 years. The answer is 61.
Question: When the strawberries at Fruity Farm are ready for harvest, Miguel charges each interested picker $4 to access the strawberry fields. Once there, people pick as many strawberries as they wish, and then take them to Miguel for weighing and pricing. This year, the standard price of a pound of strawberries is $20. Miguel is a very generous man. He deducts the entrance charge from the cost of the harvest. Sally, Jenny and Moses have just finished their strawberry picking and are headed home. They paid $128 for their harvest. How many pounds of strawberry did they pick?
Answer: To gain entry into the strawberry fields, Sally, Jenny and Moses paid a total of 4 * 3 = 12 dollars. This means that before Miguel applied the $12 discount, the cost was 128 + 12 = 140 dollars. We get the weight by dividing the cost by the price of strawberries per pound, 140 / 20 = 7 pounds. The answer is 7.
[Question]Anna goes trick-or-treating in a subdivision where she gets 14 pieces of candy per house. Her brother Billy goes trick-or-tricking in a neighboring subdivision where he gets 11 pieces of candy per house. If the first subdivision has 60 houses and the second subdivision has 75 houses, how many more pieces of candy does Anna get?
[Answer]First find the total number of pieces of candy Anna gets: 14 pieces / house * 60 houses = 840 pieces. Then find the total number of pieces of candy Billy gets: 11 pieces / house * 75 houses = 825 pieces. Then subtract the number of pieces Billy gets from the number Anna gets to find the difference: 840 pieces - 825 pieces = 15 pieces. The answer is 15.
Q: 40% of the mosquitos in Jack's area are infected with malaria. 20% of the mosquitos are infected with Zika virus. Without a vaccine, the chances of getting infected with either virus after getting bitten by an infected mosquito are 50%. Jack is taking an experimental malaria vaccine that reduces the chances of getting infected after getting bitten by 50%. If Jack gets bitten by a random mosquito, what is the percentage chance he catches either Zika virus or malaria?
A: First find Jack's chances of getting bitten by an infected mosquito: 40% + 20% = 60%. The chance of being infected by a mosquito with after being bitten: 60% * 50% = 30%. Then find the chances of getting ill after receiving the vaccine: 30% * 50% = 15%. The answer is 15.
Question: Bert was able to sell 8 toy phones for $18 each, while Tory was able to sell 7 toy guns for $20 each. How much more did Bert earn than Tory?
Answer: Bert was able to earn 8 x $18 = $144 for the toy phones. While Tory was able to earn 7 x $20 = $140 for the toy guns. Therefore, Bert was able to earn $144 – $140 = $4 more than Tory. The answer is 4.
Q: Nina wants to give presents to her children. She buys three toys at $10 each, two packs of basketball cards at $5 each, and five shirts at $6 each. How much does she spend in all?
A:
Three toys cost 3 x $10 = $30. Two packs of basketball cards cost 2 x $5 = $10. And, five shirts cost 5 x $6 = $30. Therefore, Nina spends a total of $30 + $10 + $30 = $70 in all. The answer is 70.