Answer:
Equation is [tex]8M + 7P = 131[/tex]
[tex]M = \$12[/tex]
Step-by-step explanation:
Given
Jason: 6 Movies and 4 popcorn
Michael: 2 Movies and 3 Popcorn
1 Popcorn = $5
Total = $131
Required
- Write an equation to solve
Represent Movie with M and Popcorn with P
For Jason, we have:
6M + 4P
For Michael, we have:
2M + 3P
Add these parameters together
Jason + Michael = $131
[tex]6M + 4P + 2M + 3P = 131[/tex]
Collect Like Terms
[tex]6M + 2M+ 4P + 3P = 131[/tex]
[tex]8M + 7P = 131[/tex]
Hence the equation is [tex]8M + 7P = 131[/tex]
From the question, we have that
[tex]P = \$5[/tex]
Substitute 5 for P
[tex]8M + 7 * 5 = 131[/tex]
[tex]8M + 35 = 131[/tex]
Solve for M
[tex]8M = 131 -35[/tex]
[tex]8M = 96[/tex]
[tex]M = \frac{96}{8}[/tex]
[tex]M = \$12[/tex]
