Question

The price of a sweater is $5 less than twice the price of a shirt. If four sweaters and three shirts cost $200, find the price of each shirt and each sweater.

Answer 1

Let x be the price of shirt
shirt = x
sweater = 2x - 5

4 sweaters = 4(2x-5) = 8x - 20
3 shirts = 3x

Total of 4 sweaters and 3 shirts = 8x - 20 + 3x = 11x - 20

We know that it costs $200
11x - 20 = 200
11x = 220
x = 20

Shirt = x = $20
Sweater = 2x - 5 = 2(20) - 5 = 35

Each shirt costs $20 and each sweater costs $35