[Question]Abigail spent 60% of her money on food, and 25% of the remainder on her phone bill. After spending $20 on entertainment, she is left with $40. How much money did Abigail have initially?
[Answer]Abigail had $20 + $40 = $60 left after paying her phone bill. The $60 is 100% - 25% = 75% of the remainder of her money after spending for food. Since 75% is $60, then 1% is $60 / 75 = $0.80. Thus, Abigail had $0.80 x 100 = $80 left after she spent money on food. The $80 is 100% - 60% = 40% of her original money. So 1% is $80 / 40 = $2. Therefore, Abigail initially had $2 x 100 = $200. The answer is 200.
Q: There are 14 red crayons, 5 more blue crayons than red crayons, and 6 less yellow crayons than double the blue crayons. How many yellow crayons are there?
A: Red:14 crayons. Blue:5 + 14 = 19 crayons. Yellow:19(2) - 6 = 32 crayons. The answer is 32.
Question: The average score on last week's Spanish test was 90. Marco scored 10% less than the average test score and Margaret received 5 more points than Marco. What score did Margaret receive on her test?
Answer: The average test score was 90 and Marco scored 10% less so 90 * .10 = 9 points lower. The average test score was 90 and Marco scored 9 points less so his test score was 90 - 9 = 81. Margret received 5 more points than Marco whose test score was 81 so she made 5 + 81 = 86 on her test. The answer is 86.
[Question]Cara has 60 marbles in a bag. 20 of them are yellow, half as many are green, and the remaining marbles are equally divided between red and blue. If Cara picks a marble at random, what are the odds it's blue (expressed as a percentage)?
[Answer]First find the number of green marbles: 20 yellow marbles / 2 = 10 green marbles. Then find how many marbles are either red or blue: 60 marbles - 20 yellow marbles - 10 green marbles = 30 marbles. Divide this number in half to find how many marbles are blue: 30 marbles / 2 = 15 blue marbles. Finally, divide the number of blue marbles by the total number of marbles and multiply by 100 to find the percentage chance of getting a blue marble: 15 marbles / 60 marbles * 100 = 25%. The answer is 25.
Q: A farm has 5 less than 9 times the amount of hens as roosters. If there are 75 total chickens, how many hens are there?
A: Let x represent the number of roosters. Number of hens:9x - 5. Total:9x - 5 + x = 75. 10x - 5 = 75. 10x = 80. x = 8. Number of hens: 9(8) - 5 = 67. The answer is 67.
Question: Two boys, Ben and Leo, are fond of playing marbles. Ben has 56 marbles, while Leo has 20 more marbles than Ben. They put the marbles in one jar. How many marbles in the jar?
Answer:
Leo has 56 + 20 = 76 marbles. Therefore, there are 56 + 76 = 132 marbles in the jar. The answer is 132.