Question

The total cost of a sweater and a shirt was $61.11. If the price of the sweater was $4.29$ less than the shirt, what was the price of the sweater? Express your answer as a simplified fraction or a decimal rounded to two places.

Answer 1

The sweater was $28.41

Explanation:

Let's say that the sweater cost x dollars.

Well, apparently the shirt cost more. (They said that the sweater cost less).

So the cost of the shirt was:

x + 4.29

Now, the total was 61.11.

sweater + shirt =61.11

x + x + 4.29 = 61.11

combine like terms.

2x + 4.29 = 61.11

subtract 4.29

2x = 56.82

divide by 2

x = 28.41

The sweater cost $28.41. (And the shirt was 28.41+4.29, or 32.70)

check:

32.70 is 4.29 more than 28.41

and

28.41 + 32.70 = 61.11