Q: Connie redeemed all her arcade tickets today. She spent half of them on a stuffed koala bear. She spent 10 tickets on a pair of earbuds. She spent another 15 tickets on glow bracelets. How many tickets did Connie redeem today?
A: Connie spent 10 tickets on earbuds + 15 tickets on glow bracelets = 25 tickets. Since Connie spends half of her tickets on a stuffed koala bear, that means the 25 tickets she spent on earbuds and glow bracelets is the other half, so she spent 25 tickets on the stuffed koala bear. In all, Connie spent 25 tickets on earbuds and glow bracelets + 25 tickets on a stuffed koala bear = 50 tickets. The answer is 50.
Question: Carson is refilling his tires. Each tire can hold 500 cubic inches of air. Two of the tires are completely flat and empty. One tire is 40% full and the last tire is 70% full. If Carson injects 50 cubic inches of air with each pump, how many pumps will it take him to fill all the tires?
Answer: First, if the a full tire needs 500 cubic inches of air, then two empty tires need: 500 cubic inches / tire * 2 tires = 1000 cubic inches. Accordingly, the 40% - full tire needs 500 cubic inches * (100% - 40%). So, we find the 40% - full tire needs 500 cubic inches * (60%) = 300 cubic inches. And, the 70% - full tire needs 500 cubic inches * (100% - 70%). So, the 70% - full tire needs 500 cubic inches * (30%) = 150 cubic inches. Now add up the needs of all the tires to find the total number of cubic inches needed: 1000 cubic inches + 300 cubic inches + 150 cubic inches = 1450 cubic inches. Finally, if the pumps each hold 50 cubic inches, the total number of pumps needed is 1550 cubic inches / 50 cubic inches / pump = 29 pumps. The answer is 29.
[Question]Tim had a birthday party with a clown that cost $100 an hour for 4 hours. He also rented a bounce house for half the time that cost 3 times as much an hour. Everything else for the party cost $1000. How much did his birthday cost?
[Answer]The clown cost 100 * 4 = $400. The bounce house cost 100 * 3 = $300 per hour. He rented it for 4 / 2 = 2 hours. So it cost 300 * 2 = $600. That means the total cost was 400 + 600 + 1000 = $2000. The answer is 2000.
Q: Mandy researched 42 med schools. She applied to 1/3 of the schools she researched and got into half of the schools where she applied. How many schools was Mandy accepted to?
A: First find the number of schools Mandy applied to: 42 med schools / 3 = 14 med schools. Then divide that number by 2 to find the number of schools where she was accepted: 14 med schools / 2 = 7 med schools. The answer is 7.
Question: Betty bought 1 kg of oranges and 3 kg of apples. The total cost of oranges was $12. The apples were two times cheaper than the oranges. How much did Betty pay for 1 kg of apples?
Answer: The cost of the apples was $12 / 2 = $6. When the cost of 3 kg of apples was $6, then the cost of 1 kg of apples was $6 / 3 kg = $2 / kg. The answer is 2.
Q: Abigail thinks she has some lost some money out of her purse. She had $11 in her purse at the start of the day, and she spent $2 in a store. If she now has $3 left, how much money has she lost?
A:
After going shopping, Abigail had 11 – 2 = 9 dollars left. This means she lost 9 – 3 = 6 dollars. The answer is 6.