Man buys 4 cans and 3 pans for $11.67. Girl buys 8 cans and one pan for $12.89. Write equations for both person's purchases, and solve the system to find the price of 1 can and the price of 1 pan.

Question

I'm stuck on this question and don't know how to do it. Please help me.

Answer 1

C=can, P= pan (costs)

4C+3P=11.67

8C+P=12.89, so P=12.89-8C

Substitute for P:

4C+3(12.89-8C)=11.67

4C+38.67-24C=11.67

38.67-11.67=24C-4C

27=20C so C=27/20=$1.35

P=12.89-8C=12.89-10.80=$2.09

Pan costs $2.09 and can costs $1.35