[Question]Jason is counting the number of cars that drive by his window. He counted four times as many green cars as red cars, and 6 more red cars than purple cars. If he counted 312 cars total, how many of them were purple?
[Answer]Let g be the number of green cars, r be the number of red cars, and p be the number of purple cars. We know that g + r + p = 315, r = p + 6, and g = 4r. Substitute the second equation into the third equation to get: g = 4r = 4(p + 6) = 4p + 24. Now substitute the equations that express g and r in terms of p in the equation for the total number of cars: 4p + 24 + p + 6 + p = 315. Now combine like terms to get 6p + 30 = 312. Now subtract 30 from both sides to get 6p = 282. Now divide both sides by 6 to get p = 47. The answer is 47.
Q: Several birds were sitting in the branches of a crape myrtle tree. There were three times more cardinals than bluebirds, but half as many swallows as bluebirds. If there were 2 swallows, what is the total number of birds in the crape myrtle tree?
A: With half as many swallows as bluebirds, there are 2 * 2 = 4 bluebirds. With three times more cardinals than bluebirds, there are 3 * 4 = 12 cardinals,. If there were 2 swallows, then the total number of birds in the crape myrtle tree is 2 + 4 + 12 = 18 birds. The answer is 18.
Question: Joe and Adam built a garden wall with three courses of bricks. They realized the wall was too low and added 2 more courses. If each course of the wall had 400 bricks, and they took out half of the bricks in the last course to allow easy checkup of the garden, calculate the total number of bricks the wall has.
Answer: When they added two more courses for the wall, the number of courses became 3 + 2 = 5. Since each course has 400 bricks, the total number of bricks for 5 courses is 5 * 400 = 2000. To allow for an easy checkup of the wall, they removed 1 / 2 * 400 = 200 bricks from the last course of the wall. In total, the wall has 2000 - 200 = 1800 bricks. The answer is 1800.
[Question]The basketball team sold 50 cupcakes for $2 each and 40 cookies for $0.5 each. Then the money from their sales was used to buy two basketballs that cost $40 each. The rest of the money was used to buy 20 bottles of energy drinks. How much does a bottle of energy drink cost?
[Answer]The basketball team earned 50 x $2 = $100 from selling cupcakes. They also earned 40 x 0.5 = $20 from selling cookies. So their total earnings was $100 + $20 = $120. The two basketballs cost $40 x 2 = $80. Thus, $120 - $80 = $40 was used to buy the 20 bottles of energy drinks. Therefore, each bottle of energy drink costs $40 / 20 = $2. The answer is 2.
Q: Tom opens an amusement park. It cost $100,000 to open initially. It also cost 1% of that to run per day. He sells 150 tickets a day for $10 each. How long will it take to make back his money?
A: It cost 100,000 * .01 = $1,000 a day to keep the place open. He makes 150 * 10 = $1500 a day from the park. So he makes a profit of 1500 - 1000 = $500 a day. So it takes 100000 / 500 = 200 days to make back his money. The answer is 200.
Question: A salon has the same amount of customers every day. Each customer needs 1 can of hairspray during the styling and is also given 1 can of hairspray to take home. The salon also buys an extra 5 cans of hairspray each day to ensure there is never a shortage. If the salon buys 33 cans of hairspray every day, how many customers do they have each day?
Answer:
Removing the surplus hairspray shows the salon needs 33 total cans of hairspray – 5 surplus cans of hairspray = 28 cans of hairspray for each customer. Each customer needs 1 can of hairspray for styling + 1 can of hairspray to take home = 2 cans of hairspray. So the salon has a total of 28 cans of hairspray / 2 cans of hairspray per customer = 14 customers. The answer is 14.