Question

Albert bought 9 pounds of fish at a grocery store at $5 per pound for salmon and $3 per pound for catfish. He spent a total of $37 on the salmon and catfish. This can be represented using the following system of equations:5s +3c = 37 s + c = 9 How many pounds of salmon did Albert purchase?

Answer 1

5 pounds

Explanation:

• To find that we simply solve the system of equations
• So make c the subject of the formula of equation 2
• 
  `s+c=9\\c=9-s`
• Substitute in equation 1
• 
  `5s+3c=37\\5s+3(9-s)=37\\5s+27-3s=37\\5s-3s+27-(27)=37-(27)\\2s=10\\s=5` so that's 5 pounds of salmon