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's let the variable x represent the price of one shirt.

Then we can write the following expression to represent the cost of one sweater: 2x - 5

We can also write the following equation to represent the cost of 4 sweaters and 3 shirts as $200:

3x + 4(2x-5) = 200

Now we can solve this equation using the distributive property, combining like terms, and inverses operations to find the cost of one shirt , x:

3x + 4(2x-5) = 200

3x + 8x - 20 = 200

11x -20 = 200

11x - 20 + 20 = 200 + 20

11x = 220

11x/11 = 220/ 11

x = $20

The price of one shirt is $20. The price of one sweater will be 2x - 5 OR 2* 20 -5 = $35