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