Question: The cheerleading coach is ordering new uniforms. There are 4 cheerleaders who need a size 2, a certain number who need a size 6, and half that number who need a size 12. If there are 19 cheerleaders total, how many cheerleaders need a size 6?
Answer: Let s be the number of cheerleaders who need a size 6 and t be the number who need a size 12. We know that s = 2t and s + t + 4 = 19. Substituting the first equation into the second equation, we get 2t + t + 4 = 19. Combining like terms, we get 3t + 4 = 19. Subtracting 4 from both sides, we get 3t = 15. Dividing both sides by 3, we get t = 5. Substituting that value back into the equation s = 2t, we get s = 2 * 5 = 10. The answer is 10.
[Question]It took Dad 5 more than twice as long to vacuum upstairs then to vacuum downstairs. He vacuumed for a total of 38 minutes. How many minutes did he vacuum upstairs?
[Answer]Let D = time in minutes to vacuum downstairs. Upstairs = 2D + 5 minutes. 3D + 5 = 38. 3D = 33. D = 11 minutes. Upstairs = (2 * 11) + 5 = 27 minutes. Dad took 27 minutes to vacuum upstairs. The answer is 27.
Q: Jack has $43 in his piggy bank. He also gets an allowance of $10 a week. If Jack puts half of his allowance into his piggy bank every week, after 8 weeks how much will Jack have in his piggy bank?
A: Jack saves $10 / 2 = $5.00 a week. Over 8 weeks Jack saves $5.00 / week x 8 weeks = $40.00. In total Jack has $43.00 + $40.00 = $83.00 dollars in his piggy bank. The answer is 83.
Question: Isabelle’s parents bought a new television for $480. The seller gives them a 5% discount. They pay a first installment of $150 and will pay the rest in 3 monthly installments. What is the amount of a monthly payment?
Answer: The television discount is $480 x 5 / 100 = $24. So, the television price is $480 - $24 = $456. The outstanding balance is $456 – $150 = $306. The monthly payment is $306 / 3 = $102. The answer is 102.
[Question]Joel collected a bin of old toys to donate. By asking his friends, he was able to collect 18 stuffed animals, 42 action figures, 2 board games, and 13 puzzles. His sister gave him some of her old toys from her closet, and then Joel added twice as many toys from his own closet as his sister did from hers. In all, Joel was able to donate 108 toys. How many of the donated toys were Joel’s?
[Answer]Let T be the number of toys Joel’s sister donated. Joel donated twice as many toys, so he donated 2T toys. Joel’s friends donated 18 + 42 + 2 + 13 = 75 toys. In all, Joel collected T + 2T + 75 = 3T + 75 = 108 toys. Joel and his sister donated 3T = 108 - 75 = 33 toys together. Therefore, T = 33 / 3 = 11 toys were his sister’s. Thus, 2T = 2 * 11 = 22 toys were Joel’s. The answer is 22.
[Question]Gemma ordered four pizzas at $10 each, and she gave a $5 tip to the delivery person. How much change did she get back if she gives one fifty-dollar bill?
[Answer]
The cost of the four pizzas is 4 x $10 = $40. The total cost, including the tip, is $40 + $5 = $45. Therefore, Gemma gets a change of $50 - $45 = $5. The answer is 5.