Question: If Beth had $35 more, she would have $105. If Jan had $10 less, he would have the same money as Beth has. How much money do Beth and Jan have altogether?
Answer: Beth has $105 - $35 = $70. Jan has $70 + $10 = $80. So, Beth and Jan have $70 + $80 = $150 altogether. The answer is 150.
[Question]Susan is picking strawberries. She's trying to fill her basket, but out of every handful of 5 strawberries she can't help but eat one of them herself. If her basket holds 60 strawberries, how many berries will she actually pick before she fills it?
[Answer]Out of every 5 berries, she eats 1, so only 5 strawberries - 1 strawberry = 4 strawberries go into the basket for each handful. The basket holds 60 strawberries, so it will take 60 strawberries / 4 strawberries per handful = 15 handfuls to fill the basket. So in total, Susan will pick 60 strawberries + 15 handfuls * 1 strawberry eaten per handful = 75 strawberries. The answer is 75.
Q: James sells a $500,000 house for 20% over market value. He splits the revenue with his 3 brothers. How much does each person get after taxes take away 10%?
A: He sells the house for 1 + .2 = 1.2 times its value. So he sells the house for 500,000 * 1.2 = 600,000. He splits the money 1 + 3 = 4 ways. So each person gets 600,000 / 4 = $150,000 before taxes. Taxes take away 150,000 * .1 = $15,000. So each person gets 150,000 - 15,000 = $135,000. The answer is 135000.
Question: A company hires employees on a contract basis, depending on the availability of work. In a particular month, they hired 200 more employees on the first week than on the second week, and 150 fewer employees on the second week than on the third week. If the number of employees hired on the fourth week was twice the number hired in the third week, and the number of employees on the fourth week was 400, what's the average number of employees hired per week?
Answer: The fourth week had twice the number of employees as the third week, so 400 / 2 = 200 employees on the third week. In the third week, they hired 150 fewer employees than on the second week, that is 200 - 150 = 50 employees hired on the second week. The first week had 200 more hirings than the second week, that is 50 + 200 = 250 employees. The total number of employees hired is 250 + 50 + 200 + 400 = 900. The average number of employees hired per week is 900 / 4 = 225 employees. The answer is 225.
[Question]Rob and Mark plan to meet at the national park. It takes 1 hour for Rob to get to the national park and it takes three times as much time for Mark to get to the national park. If Rob leaves his home at 11 a.m., at what time should Mark leave his home so that they both arrive at the same time?
[Answer]It takes 1 hour * 3 = 3 hours for Mark to get to the national park. The extra time it takes Mark to get to the national park is 3 hours - 1 hour = 2 hours. Mark should leave his home at 11 a.m. - 2 hours = 9 a.m. The answer is 9.
[Question]An elementary school teacher is making Halloween goodie bags for her class. She wants the bags to be personalized, so she surveys her students asking whether they'd like a vampire-themed bag or a pumpkin-themed bag. Of her 25 students, 11 indicate they want the vampire-themed bag and 14 indicate they want the pumpkin-themed bag. The store the teacher shops at sells packs of 5 of each theme at a price of $3 per package, as well as individual bags of each theme at a price of $1 each. What is the least amount of money the teacher can spend on the bags if she buys every student the theme they requested?
[Answer]
Because it is cheaper to buy the packs of 5, the teacher should satisfy the 11 students who want the vampire theme with 2 packs of 5 and 1 individual bag. This will cost the teacher 2 * 3 + 1 * 1 = $7. Similarly, the 14 students who want a pumpkin - themed bag can be satisfied by 2 packs of 5 and 4 individual bags at a cost of 2 * 3 + 4 * 1 = $10. Therefore, the teacher must spend 7 + 10 = $17. The answer is 17.