Word Problems

Question

At a farm, there are two huge pits for storing hay. 90 tons of hay is stored in the first pit, 75 tons in the second pit. Then, three times as much hay was removed from the first pit as was removed from the second pit. After that, there was half as much hay in the first pit as there was now in the second pit. How many tons of hay was taken from the first pit?

At a farm, there are two huge pits for storing hay. 90 tons of hay is stored in the first pit, 75 tons in the second pit. Then, three times as much hay was removed from the first pit as was removed from the second pit. After that, there was half as much hay in the first pit as there was now in the second pit. How many tons of hay was taken from the first pit?

Answer 1

x=# of tons of hay

90-3x

75-x

2(90-3x)=75-x

180-6x=75-x

180-75=6x-x

105=5x

x=105/5

x=21 tons

3*21=63 tons taken from the first pit

90-63=27

75-21=54

27 is half of 54