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

Equation is
`8M + 7P = 131`

`M = \$12`

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 = (96)/(8)`

`M = \$12`