Question

Mrs. Silva owns a cake shop and she is working on two wedding cakes this week. The first cake consists of 3 small tiers and 5 medium tiers, which will serve a total of 291 guests. The second one includes 1 small tier and 5 medium tiers, which is enough servings for 247 guests. How many guests does each size of tier serve?​

Answer 1

small = 22 ; medium = 45

Explanation:

3s + 5m = 291

s + 5m = 247

s = -5m + 247

3(-5m + 247) + 5m = 291

-15m + 741 + 5m = 291

- 10m = 291 - 741

- 10m = - 450

m = -450/ -10

m = 45

s = -5(45) + 247

s = -225 + 247

s = 22