Q: Alyssa and Chelsea jointly bought 40 candles to decorate their room. Alyssa used half of them, and Chelsea used 70% of the remaining candles. How many candles are there in the room now?
A: Alyssa used half of the candles, which is 1 / 2 * 40 = 20 candles. The number of candles that remained is 40 - 20 = 20. Chelsea used 70% of the remaining candles, a total of 70 / 100 * 20 = 14 candles. The total number of candles in the room now is 40 - 20 - 14 = 6. The answer is 6.
Question: Paul, a biology teacher, assigns 265 points in the first quarter. There are 4 times as many test points as quiz points, and 5 more quiz points than homework points. How many homework points are there in the first quarter?
Answer: Let x represent the number of homework points. Quiz:x + 5. Test:4(x + 5) = 4x + 20. Total:x + x + 5 + 4x + 20 = 265. 6x + 25 = 265. 6x = 240. x = 40 points. The answer is 40.
[Question]Stephen rides his bicycle to church. During the first third of his trip, he travels at a speed of 16 miles per hour. During the second third of his trip, riding uphill, he travels a speed of 12 miles per hour. During the last third of his trip, he rides downhill at a speed of 20 miles per hour. If each third of his trip takes 15 minutes, what is the distance Stephen rides his bicycle to church, in miles?
[Answer]15 minutes is 15 / 60 = 0.25 hours. Traveling 15 minutes at 16 miles per hour, Stephen travels 16 * 0.25 = 4 miles. Traveling 15 minutes at 12 miles per hour, Stephen travels 12 * 0.25 = 3 miles. Traveling 15 minutes at 20 miles per hour, Stephen travels 20 * 0.25 = 5 miles. All together, Stephen travels 4 + 3 + 5 = 12 miles. The answer is 12.
Q: Six Grade 4 sections launched a recycling drive where they collect old newspapers to recycle. Each section collected 280 kilos in two weeks. After the third week, they found that they need 320 kilos more to reach their target. How many kilos of the newspaper is their target?
A: In a week, each section collected 280 / 2 = 140 kilos of newspapers. So, in three weeks, one section collected 140 x 3 = 420 kilos. So, the four sections collected a total of 420 x 4 = 1680 kilos. Hence, their target is to collect 1680 + 320 = 2000 kilos of the newspaper. The answer is 2000.
Question: A desert garden’s sprinkler system runs twice a day during the cool morning and evening hours. It waters the garden with four liters of water in the morning and six liters in the evening. How many days does it take the sprinkler system to use 50 liters of water?
Answer: Every day, the sprinkler uses 4 + 6 = 10 liters of water. Hence, it takes the sprinkler system 50 / 10 = 5 days to use 50 liters of water. The answer is 5.
Q: The P.T.O. decided to provide shirts for the elementary students for track and field day. Each grade was given a different color. 101 Kindergartners wore orange shirts that cost $5.80 each. 113 first graders wore yellow shirts that cost $5 each. 107 second graders wore blue shirts that cost $5.60 each. 108 third graders wore green shirts that cost $5.25 each. How much did the P.T.O. spend on shirts for field day?
A:
The cost for 101 Kindergarten shirts x $5.80 = $585.80. The cost for 113 first grade shirts x $5 = $565. The cost for 107 second grade shirts x $5.60 = $599.20. The cost for 108 third grade shirts x $5.25 = $567. The total cost of the shirts was $585.80 + $565 + $599.20 + $567 = $2,317. The answer is 2317.