Question

The price of a jacket is $8 less than twice the price of a t-shirt. If five t-shirts and three jackets cost $273. State the equations that can be used to model the situation and find the price of each item

Answer 1

System of equations:

J = 2S - 8

5S + 3J = 273

Prices:

Jacket: $46

Shirt: $27

Explanation:

Let J = price of jacket.

Let S = price of shirt.

J = 2S - 8

5S + 3J = 273

Since the first equation is already solved for J, use substitution.

5S + 3(2S - 8) = 273

5S + 6S - 24 = 273

11S = 297

S = 27

J = 2S - 8

J = 2(27) - 8

J = 54 - 8

J = 46

Answer:

System of equations:

J = 2S - 8

5S + 3J = 273

Prices:

Jacket: $46

Shirt: $27