Question

The total cost of a sweater and a tie was $85.12. If the price of the sweater was $0.98 less than the tie, what was the price of the sweater? Express your answer as a simplified fraction or a decimal rounded to two places.

Answer 1

$42.07

Explanation:

Let the price of the sweater =s

Let the price of the tie =t

The total cost of a sweater and a tie was $85.12.

s+t=85.12.

The price of the sweater was $0.98 less than the tie

t=s+0.98

Therefore:

s+s+0.98=85.12

2s=85.12-0.98

2s=84.14

s=$42.07

The price of a sweater is $42.07.