what is the price of the jacket

Question

The total cost of a jacket and a pair of shoes was
$91.43
. If the price of the jacket was
$7.65
less than the pair of shoes, what was the price of the jacket? Express your answer as a simplified fraction or a decimal rounded to two places

Answer 1

Steven

 

Let J = price of jacket

S = price of shoes

 

From the first sentence we have,

J + S = 91.43

 

From the second sentence, we have,

J = S - 7.65

 

We can substitute this second equation into the first.

 

S - 7.65 + S = 91.43

 

Combining terms and solving for S

2S - 7.65 = 91.43

2S = 99.08

S = 49.54

 

Then J = 49.54 - 7.65 = 41.89