[Question]Lorenzo put three full cans of thumbtacks into his pocket and went off to work at the corkboard factory. It was Lorenzo's job, as head of quality control, to test every cork board for its ability to hold thumbtacks. He placed one thumbtack from each of the three cans of thumbtacks into every board tested. At the end of the day, he had tested 120 boards and had 30 tacks remaining in each of the three cans. What was the total combined number of thumbtacks from the three full cans?
[Answer]At the end of the day, he had tested 120 boards, each with three tacks, for a total of 3 * 120 = 360 tacks. He had 30 tacks remaining in each of the three cans, for an additional 3 * 30 = 90 thumbs tacks. Therefore, the original total combined number of thumbtacks in the three full cans of thumbtacks was 360 + 90 = 450 thumbtacks. The answer is 450.
Q: Mr. Martinez is two feet taller than his daughter, Chiquita. If Chiquita is 5 feet tall, calculate their combined height.
A: If Chiquita is 5 feet tall, then Mr. Martinez is 5 + 2 = 7 feet tall. Together, their height is 7 + 5 = 12 feet. The answer is 12.
Question: John gets his pool cleaned every 3 days. It cost $150 each time and he gives the guy a 10% tip each time he comes to clean. Then twice a month he needs to use $200 of chemicals. How much does his pool cost a month?
Answer: He gets his pool cleaned 30 / 3 = 10 times a month. Each time he gets it cleaned he tips 150 * .1 = $15. So he pays 150 + 15 = $165. So he pays 165 * 10 = $1650 a month on cleaning. The chemicals cost 200 * 2 = $400. So in total, he pays 1650 + 400 = $2050. The answer is 2050.
[Question]A water tower that serves four neighborhoods around it holds 1200 barrels of water and is filled to the top each week. If one neighborhood uses 150 barrels of water in a week, the second neighborhood uses twice as many barrels of water as the first neighborhood in a week, and the third neighborhood uses one hundred more barrels of water than the second neighborhood in a week, how many barrels are left for the fourth neighborhood?
[Answer]The second neighborhood uses 150 * 2 = 300 barrels of water. The third neighborhood uses 300 + 100 = 400 barrels of water. The first, second, and third neighborhoods together use 150 + 300 + 400 = 850 barrels of water. Thus, the fourth neighborhood has 1200 - 850 = 350 barrels of water left for it to use. The answer is 350.
Q: Mr. Grey is purchasing gifts for his family. So far he has purchased 3 polo shirts for $26 each; 2 necklaces for $83 each; and 1 computer game for $90. Since Mr. Grey purchased all those using his credit card, he received a $12 rebate. What is the total cost of the gifts after the rebate?
A: Mr. Grey paid $26 / shirt x 3 shirts = $78 on polo shirts. He paid $83 / necklace x 2 necklaces = $166 on necklaces. So, he paid $78 + $166 + $90 = $334 for the gifts. After the rebate, the total cost of the gifts is now $334 - $12 = $322. The answer is 322.
Question: Janet is trying to decide whether to quit her job and start freelancing. She works 40 hours a week at both jobs. She get paid $30/hour at her current job, and would get paid $40/hour as a freelancer. However, she'd have to pay an extra $25 a week in FICA taxes plus $400/month in healthcare premiums. How much more would Janet make per month as a freelancer if there are four weeks in a month?
Answer:
First find the difference in hourly wages: $40 / hour - $30 / hour = $10 / hour. Then multiply that difference by the number of hours she works in a week to find the weekly difference: $10 / hour * 40 hours / week = $400 / week. Then multiply that amount by the number of weeks in a month to find the monthly difference in her earnings: $400 / week * 4 weeks / month = $1600 / month. Then find the total additional amount Janet pays in FICA taxes: $25 / week * 4 weeks / month = $100 / month. Then subtract Janet's extra FICA taxes and healthcare premium from the additional money she earns to find the net increase in her pay from freelancing: $1600 / month - $400 / month - $100 / month = $1100 / month. The answer is 1100.