Question

Benjamin spends $9.50 for a movie ticket at Emagine and $4.50 for each snack. Landon spends $8 for a movie ticket at AMC and $5.25 for each snack. Write and solve and equation to determine how many snacks will it take for Benjamin and Landon to spend the same amount?

Answer 1

Answer:

It will take 2 snacks for Benjamin and Landon to spend the same amount

Step-by-step explanation:

Assume they bought x snacks

∵ Benjamin spends $9.50 for a movie ticket at Emagine and $4.50

  for each snack

∵ He bought x snacks

→ Multiply the number of snacks by 4.50 and add it to 9.50

∴ The amount he spent = 4.50x + 9.50

∵ Landon spends $8 for a movie ticket at AMC and $5.25 for each snack

∵ He bought x snacks

→ Multiply the number of snacks by 5.25 and add it to 8

∴ The amount he spent = 5.25x + 8

∵ They spent the same amount of money

→ Equate the right sides of their amount spent

∴ 5.25x + 8 = 4.50x + 9.50

→ Subtract 4.50x from both sides

∵ 5.25x - 4.50x + 8 = 4.50x - 4.50x + 9.50

∴ 0.75x + 8 = 9.50

→ Subtract 8 from both sides

∵ 0.75x + 8 - 8 = 9.50 - 8

∴ 0.75x = 1.50

→ Divide both sides by 0.75

∴ x = 2

∵ x represents the number of snacks they bought

∴ It will take 2 snacks for Benjamin and Landon to spend the same amount