Question

Lowes sells boxes of wrenches ($109) and hammers ($306) . Howard ordered 37 boxes totaling $9155. How many boxes of each are in an order?

Answer 1

Number of hammer boxes is 26 and number of wrench boxes is 11.

Explanation:

Given,

Price of a wrench box = $ 109

Price of a hammer box = $ 306

Total number of boxes = 37

Total amount of the 37 boxes = $ 9155

To find the number of wrenches and hammers boxes.

Let,

There are x number of wrench boxes and y number of hammer boxes.

According to the problem,

x+y = 37 ----(1)

109x+306y = 9155 ------(2)

Putting, x = 37-y from (1) into (2) we get,

109(37-y)+306y = 9155

or, 4033 - 109y +306y = 9155

or, 197y = 9155-4033

or, 197y = 5122

or, y = 26

Hence,

Number of hammer boxes = 26

Number of wrench boxes = 37 -26 = 11