[Question]Blake gave some of his money to his friend, Connie. Connie used all the money she had been given to buy some land. In one year, the land tripled in value. So, she sold the land and gave half of all the money she got from the sale of the land to Blake. If Connie gave Blake $30,000, how much money, in dollars, did Blake initially give to Connie?
[Answer]If half the value of what Connie sold the land for was $30,000, then the full value was $30,000 * 2 = $60,000. If $60,000 is triple what Connie bought the land for, then the initial cost, which is the amount given to her by Blake, was $60,000 / 3 = $20,000. The answer is 20000.
Q: Katerina purchases 3 pots and 4 pans at the home goods store. Each pot costs $20. The total cost of Katerina's items is $100. If each pan is the same price, what is the cost of 2 pans?
A: The cost of the pots is 3 * $20 = $60. The cost of 4 pans is $100 - $60 = $40. Since each pan is the same price, the cost of 1 pan is $40 / 4 = $10. The cost of 2 pans is $10 + $10 = $20. The answer is 20.
Question: Maximoff's monthly bill is $60 per month. His monthly bill increased by thirty percent when he started working at home. How much is his total monthly bill working from home?
Answer: He pays an additional $60 x 0.30 = $18 on his monthly bill working from home. Therefore, the total amount he pays for his monthly bill working from home is $60 + $18 = $78. The answer is 78.
[Question]At a school, 40% of the students receive a free lunch. These lunches are paid for by making sure the price paid by the paying students is enough to cover everyone's meal. If it costs $210 to feed 50 students, how much do the paying students pay for lunch?
[Answer]60% of the students pay for the lunch because 100 - 40 = 60. 30 students pay for lunch because 50 x .6 = 30. These students pay $7 for their lunch because 210 / 30 = 7. The answer is 7.
Q: Derrick measures the length of his yard. The length of Alex's yard is half the size of Derrick's and the length of Brianne's yard is 6 times the size of Alex's. If Brianne's yard is 30 yards long, how long is Derrick's yard, in yards?
A: The length of Alex's yard is 30 / 6 = 5 yards. The length of Derrick's yard is 5 * 2 = 10 yards. The answer is 10.
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.