[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.
Q: Javier is an Olympic javelin thrower. In the last Olympics, he threw the javelin three times. The first throw, he threw the javelin twice as far as he threw the javelin on his second throw, but only half as far as he threw it the third throw. If the sum of all three throws was 1050 meters, then how far, in meters, did he throw the javelin on his first throw?
A: Let x be the distance he threw the javelin on the first throw. Thus, the sum of his three throws is x + 0.5x + 2x = 1050 meters. Thus, 3.5x = 1050. And we find the distance he threw the javelin on the first throw is x = 300 meters. The answer is 300.
Question: Johnny has been playing guitar for a while now. He practices the same amount each day. As of 20 days ago he had half as much practice as he has currently. How many days will pass before Johnny has 3 times as much practice as he does currently?
Answer: If Johnny had half as much practice as he currently has as of 20 days ago, this means he has 20 * 2 = 40 days worth of practice currently. Therefore, to have three times as much practice as he currently has, he'd need to practice for 40 * 3 = 120 days. Since he's already practiced for 40 days, this means he needs to practice or 120 - 40 = 80 more days. The answer is 80.
[Question]Jennifer purchased 40 cans of milk at the store before meeting her classmate Mark, who was also buying milk. Jennifer bought 6 additional cans for every 5 cans Mark bought. If Mark purchased 50 cans, how many cans of milk did Jennifer bring home from the store?
[Answer]If Mark bought 50 cans of milk, the number of times Jennifer added 6 cans for every 5 that Mark bought is 50 / 5 = 10 times. The total number of additional cans she bought is 10 * 6 = 60 cans. If she initially had 40 cans, she went home with 40 + 60 = 100 cans of milk. The answer is 100.
Q: Edna made cookies for all of her neighbors and left the cookies outside for them to take. She made 150 cookies so her 15 neighbors could get 10 cookies each. However, the neighbor who arrived last told Edna there were only 8 cookies left. Edna thinks it was Sarah who took too many cookies. If all the other neighbors took the correct amount of cookies, how many cookies did Sarah take?
A: Sarah and the final neighbor took the wrong amount, which means that 15 neighbors – 1 Sarah – 1 final neighbor = 13 neighbors took 10 cookies each. This is a total of 13 neighbors * 10 cookies = 130 cookies taken by the first 13 neighbors. There were only 8 cookies left, so that means the first 13 neighbors and Sarah took a total of 150 – 8 = 142 cookies. So Sarah must have taken 142 – 130 = 12 cookies. The answer is 12.
Question: Mr. Zubir bought a pair of pants, a shirt, and a coat. The pair of pants and shirt costs $100. The pants and coat cost $244. The coat costs 5 times as much as the shirt. How much did Mr. Zubir pay for his coat?
Answer:
Let X be the coat's price. The shirt's price is X / 5. The pants and the shirt cost $100, so the pants price is $100 - X / 5. The pants and coat costs ($100 - X / 5) + X = $244. Combining like terms and subtracting $100 from both sides, we get 4 / 5 * X = $144. Dividing both sides by 4 / 5, we get X = $180. The answer is 180.