Question

The cost of four sweaters and two pairs of jeans is $140. The cost of two sweaters and three pairs of jeans is $150.

Define the variables and write a system of equations to represent this situation.

Answer 1

`4s+2j=140\\2s+3j=150\\s=15 \\ j=40\\`

s=sweaters

j=jeans

Explanation:

`4s + 2j=140\\(2s+3j=150) -2\\\\4s+2j=140\\-4s-6j=-300\\\\-4j=-160\\j=40\\\\4s + 2(40)=140\\4s+80=140\\4s=60\\s=15`