SOLUTION: the price of a sweater is $5 less than twice the price of a shirt.if four shirts and three sweaters cost$275,find the cost of each shirt and sweater.

Question 185003: the price of a sweater is $5 less than twice the price of a shirt.if four shirts and three sweaters cost$275,find the cost of each shirt and sweater.
Answer by greta_elisif(10) (Show Source): You can put this solution on YOUR website!
1. Define variables:
w = price of a sweater, in dollars
h = price of a shirt, in dollars
2. Set up two equations representing the problem:

3. Since an equation for one variable is solved, substitute the answer for the variable in the other equation:

4. Distribute the 3:

5. Combine two terms:

6. Add 15 to both sides:

7. Cancel and combine terms:

8. Divide both sides by 10:

9. Finish simplification:

10. Replace h in your first equation:

11. Solve for w:

12. Combine your solved equations with your variable definitions for your answer:
A shirt costs $29 and a sweater costs $53.
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