Question: A library has 7 rectangular tables and the remaining tables will be square tables. A rectangular table seats 10 pupils while a square table seats 4 pupils. How many square tables are needed so that 90 pupils can read at the same time?
Answer: The rectangular tables seat 7 * 10 = 70 pupils. The square tables will seat 90 - 70 = 20 pupils. The library needs 20 / 4 = 5 square tables. The answer is 5.
[Question]Jamie collects glass balls. He had 16 red balls and two times more blue balls. Later on, he lost 6 of the red balls, so he decided to buy some yellow balls to fill up his collection. How many yellow balls did he buy if, after all, he had 74 balls in total?
[Answer]Jamie had two times more blue balls than red ones, so he had 2 blue / red * 16 red balls = 32 blue balls. He lost 6 red balls so he had only 16 red balls - 6 red balls = 10 red balls. In total he had 32 blue balls + 10 red balls = 42 red and blue balls. He bought 74 balls - 42 red and blue balls = 32 yellow balls. The answer is 32.
Q: Mr. Roberts can buy a television for $400 cash or $120 down payment and $30 a month for 12 months. How much can he save by paying cash?
A: Mr. Roberts will make a total payment of $30 x 12 = $360 for 12 months. Thus, the television costs $360 + $120 = $480 when not paid in cash. Therefore, Mr. Roberts can save $480 - $400 = $80 by paying cash. The answer is 80.
Question: Drew is reseeding his lawn with grass seed. One bag of grass seed covers 250 square feet of lawn. His lawn is 22 feet from the house to the curb and 36 feet from side to side. He bought four bags of seed. How many extra square feet could the leftover grass seed cover after Drew reseeds his lawn?
Answer: Drew’s lawn is 22 * 36 = 792 square feet. He bought enough grass seed to cover 250 * 4 = 1000 square feet. Thus, the leftover grass seed can cover 1000 - 792 = 208 square feet. The answer is 208.
[Question]Suzanne wants to raise money for charity by running a 5-kilometer race. Her parents have pledged to donate $10 for her first kilometer and double the donation for every successive kilometer. If Suzanne finishes the race, how much money will her parents donate?
[Answer]For the 2nd kilometer, the donation will be $10 * 2 = $20. For the 3rd kilometer, the donation will be $20 * 2 = $40. For the 4th kilometer, the donation will be $40 * 2 = $80. For the final kilometer, the donation will be $80 * 2 = $160. For the entire race the donation will be $10 + $20 + $40 + $80 + $160 = $310. The answer is 310.
[Question]Parker wants to find out what the average percentage of kernels that pop in a bag is. In the first bag he makes, 60 kernels pop and the bag has 75 kernels. In the second bag, 42 kernels pop and there are 50 in the bag. In the final bag, 82 kernels pop and the bag has 100 kernels.
[Answer]
In the first bag the proportion that pops is .8 because 60 / 75 = .8. In the second bag the proportion that pops is .84 because 42 / 50 = .84. In the third bag the proportion that pops is .82 because 82 / 100 = .82. The proportions totals 2.46 because .8 + . 84 + .82 = 2.46. The average proportion is .82 because 2.46 / 3 = .82. The average percentage is 82 because .82 x 100 = 82. The answer is 82.