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

Answer:

15 cartons of Hammers were ordered

Step-by-step 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

$\frac{-50H}{=50} = \frac{-750}{-50}$

$H = \frac{-750}{-50}$

$H = 15$

Hence, 15 cartons of Hammers were ordered