Question

Jason bought 6 movie tickets and four bags of popcorn Michael bought two movie tickets and three bags of popcorn each bag of popcorn was $5 and they spent $131 total. write an equation to solve.​

Answer 1

Answer:

Equation is $8M + 7P = 131$

$M = \ 12$

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

$6M + 4P + 2M + 3P = 131$

Collect Like Terms

$6M + 2M+ 4P + 3P = 131$

$8M + 7P = 131$

Hence the equation is $8M + 7P = 131$

From the question, we have that

$P = \ 5$

Substitute 5 for P

$8M + 7 * 5 = 131$

$8M + 35 = 131$

Solve for M

$8M = 131 -35$

$8M = 96$

$M = \frac{96}{8}$

$M = \ 12$