Q: Adrian has the choice between two boxes of contacts. One has 50 contacts for $25, and the other has 99 contacts for $33. He chooses the box that costs less per individual contact. How many contacts will it take to equal $1 worth in whatever box he decides to buy?
A: First, we need to determine the price per contact in each of the two choices. We begin by performing 50 / 25 = 2 contacts per every dollar spent on choice A. Next, we determine the price per contact of the alternate choice. We do this by performing 99 / 33 = 3 contacts for every dollar spent on choice B. Since 3>2, Adrian purchases choice B. The answer is therefore 3. The answer is 3.
Question: Hani said she would do 3 more situps per minute than Diana would. Diana then did 40 situps at a rate of 4 situps per minute. Calculate the total number of situps they did together.
Answer: Since Diana did 40 situps at a rate of 4 situps / minute, she did situps for 40 / 4 = 10 minutes. Hani had to do 3 + 4 = 7 situps per minute if Diana did 4 situps per minute. So over the 10 minutes Hani did 7 * 10 = 70 situps. Together, the total number of situps they did is 70 + 40 = 110. The answer is 110.
[Question]In the Math club, there are two times as many males as females. If there are 6 female members, how many members are there in the Math club in total?
[Answer]There are 6 x 2 = 12 male members in the club. Thus, the Math club has a total of 6 + 12 = 18 members. The answer is 18.
Q: Joshua packs 12 bottles in each crate. He has a total of 130 bottles and 10 crates. How many bottles will not be placed in a crate?
A: A total of 12 x 10 = 120 bottles will be placed in 10 crates. Therefore, 130 - 120 = 10 bottles will not be placed in a crate. The answer is 10.
Question: James is building a hall of mirrors. Three of the walls will be completed covered with glass. If two of those walls are 30 feet by 12 feet and the third is 20 feet by 12 feet, how many square feet of glass does he need?
Answer: First find the area of one of the long walls: 30 feet * 12 feet = 360 square feet. Then double that amount since there are two walls: 360 square feet * 2 = 720 square feet. Then find the area of the short wall: 20 feet * 12 feet = 240 square feet. Then add that area to the area of the two long walls to find the total area: 720 square feet + 240 square feet = 960 square feet. The answer is 960.
Q: A lot of people have been sick at Gary's workplace, so he's been working a lot of extra shifts to fill in for people. As a result, he's earned some overtime (where every hour after 40 he earns 1.5 times his normal wage.) His paycheck (before taxes are taken out) came out to $696. If Gary normally earns $12 per hour, how many hours did he work that week?
A:
Gary earned overtime, so he worked at least 40 hours. for which he was paid 40 hours * $12 / hour = $480 at his normal wage. This means that $696 - $480 = $216 was earned at his overtime wage. His overtime wage is 1.5 his normal wage, or $12 * 1.5 = $18 per hour. So Gary worked $216 / $18 per hour = 12 hours' worth of overtime. So in total, Gary worked 40 hours + 12 hours = 52 hours that week. The answer is 52.