A construction worker bought 2114 pounds of nails. When those nails were all used, he bought 112 times as many nails as he had bought the first time. How many pounds of nails did he buy the second time?
Responses
3178 lb
Pick the answer below.
2118 lb
Pick the answer below.
3078 lb
Pick the answer below.
1416 lb
Pick the answer below.
To find out how many pounds of nails the construction worker bought the second time, we can first find out how many pounds of nails he purchased the first time.
Let's call the number of pounds of nails he bought the first time 'x'.
We know that he bought 2114 pounds of nails in total, so we can write the equation:
x + 112x = 2114
Simplifying the equation, we have:
113x = 2114
Dividing both sides of the equation by 113, we find:
x = 18.74
Since we can't have a fraction of nails, we can round up to the nearest whole number. Therefore, the construction worker bought approximately 19 pounds of nails the first time.
Since he bought 112 times as many nails the second time, we multiply 19 by 112:
19 x 112 = 2128
Therefore, the construction worker bought approximately 2128 pounds of nails the second time.
The closest answer choice is 2118 lb, so that is the correct answer.