[Question]There are 64 seventh graders at a middle school. This is 32% of the students at the school. The sixth graders comprise 38% of the students. How many sixth graders attend middle school?
[Answer]Let X be the number of students in the middle school. There are X * 32% = 64 seventh graders. So there are X = 64 / 0.32 = 200 students at the school. And there are 200 * 38% = 76 sixth graders. The answer is 76.
Q: Lulu has $65 in her piggy bank. She spent $5 on ice cream. She then spent half of the remainder of the money on a t-shirt. Afterwards, she went to the bank and deposited a fifth of her remaining money. How much cash was Lulu left with?
A: Lulu had 65 - 5 = 60 dollars left after eating ice cream. Lulu had 60 / 2 = 30 dollars left. Lulu deposited 30 / 5 = 6 dollars. Lulu was left with 30 - 6 = 24 in cash. The answer is 24.
Question: Helga went shopping for a new pair of shoes. At the first store, she tried on 7 pairs of shoes. At the second store, she tried on 2 more pairs than at the first store. At the third store, she did not try on any shoes, but she did buy a scarf. But at the fourth store, she tried on twice as many pairs of shoes as she did at all three other stores combined, before finally choosing a pair to buy. What is the total number of pairs of shoes Helga tried on before buying her new shoes?
Answer: At the second store, she tried on 7 + 2 = 9 pairs of shoes. Therefore, at the first three stores, she tried on 7 + 9 + 0 = 16 pairs of shoes. At the fourth store, she tried on 16 * 2 = 32 pairs of shoes. Thus, in total, she tried on 16 + 32 = 48 pairs of shoes. The answer is 48.
[Question]Betty’s herb garden has 2 more than twice as many oregano plants as basil. If there are 5 basil plants, what is the total number of plants in the garden?
[Answer]Two more than twice as many oregano plants as basil translates to 2 + 2 * 5 = 12 oregano plants. All together, Betty’s herb garden has 12 + 5 = 17 plants. The answer is 17.
Q: George donated half his monthly income to charity and spent $20 from the other half on groceries. If he now has $100 left, how much was his monthly income?
A: Half his monthly income is $100 + $20 = $120. His monthly income therefore is 2 * $120 = $240. The answer is 240.
Question: If Ruby is 2 centimeters shorter than Pablo. Pablo is 70 centimeters taller than Charlene. Janet is 62 centimeters tall and Charlene is twice that tall. How tall is Ruby?
Answer:
Charlene is 2 * 62 cm = 124 cm tall. Pablo is 70 cm + 124 cm = 194 cm tall. Ruby is 194 cm - 2 = 192 cm tall. The answer is 192.