Question

The total cost of a belt and a jacket was $91.85, If the price of the belt was 8.61

less than the jacket, what was the price of the belt

Answer 1

Answer: $41.62

Explanation:

*j = jacket* *b = belt*
belt + jacket = 91.85 (the total cost of the belt and jacket)
belt = jacket - 8.61 (the price of the belt is $8.61 less than the jacket)

We can use substitution to solve for the value of b.
Substitute the second equation into the first equation:
(j - 8.61) + j = 91.85

Simplify by combining like terms:
2j - 8.61 = 91.85
Add 8.61 to both sides:
2j = 100.46
Divide both sides by 2:
jacket = 50.23

b = j - 8.61

b = 50.23 - 8.61

b = 41.62

Answer 2

Answer: $41.62

Explanation:

let the price of the jacket be X

then the price of belt will be X-8.61

according to question

X + X-8.61 = 91.85

2X - 8.61 = 91.85

2X = 91.85 + 8.61

2X = 100.46

X = $50.23

cost of jacket = $ 50.23

cost of belt = $ 41.62

Hope this helps!!!