The total cost of a jacket and a pair of shoes was $52.95. If the price of the jacket was $3.87 less than the pair of shoes, wha

Question

2 years ago

14

t was the price of the jacket? Express your answer as a simplified fraction or a decimal rounded to two places.

1 answer:

abruzzese [7] · Answer 1 · 2022-05-29T02:41:44+03:00

The price of jacket was $24.54

Step-by-step explanation:

Let,

Cost of jacket = x

Cost of pair of shoes = y

According to given statement;

x+y=52.95 Eqn 1

x = y-3.87 Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$(y-3.87)+y=52.95\\y-3.87+y=52.95\\2y=52.95+3.87\\2y=56.82\\$

Dividing both sides by 2

$\frac{2y}{2}=\frac{56.82}{2}\\y=28.41$

Putting y=28.41 in Eqn 2,

$x=28.41-3.87\\x=24.54$

The price of jacket was $24.54

Keywords: linear equation, division

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