Question

a hardware store ordered cartons of hammers at 100$ per carton and cartons wrenches at 150$ per carton if there were a total of 25 cartons in this order And the total cost of the order was 3,000$ how many cartons of hammers were ordered

Answer 1

15 cartons of Hammers were ordered

Explanation:

Cost per carton of Hammer = $100

Cost per carton of Wrenches = $150

Total Carton = 25

Total Cost = $3,000

Required

Determine the numbers of Hammer and Wrenches

Represent the hammers with H and the wrenches with W

So;

`H + W = 25`

and

`100H + 150W = 3000`

Make W the subject of formula in the first equation:

`H + W = 25`

`W = 25 - H`

Substitute 25 - H for W in the second equation

`100H + 150(25 - H) = 3000`

`100H + 3750 - 150H = 3000`

Collect Like Terms

`100H - 150H = 3000 - 3750`

`-50H = -750`

Divide both sides by -50

`(-50H)/(=50) = (-750)/(-50)`

`H = (-750)/(-50)`

`H = 15`

Hence, 15 cartons of Hammers were ordered