Question

the ratio of picnic tables to garbage cans in a new national park should be 5:2. the park design shows plans for 30 picnic tables in a small campground and 110 picnic tables in a large camp ground how many garbage cans should there be in each campground

Answer 1

Small campground = 12 garbage cans

Large campground = 44 garbage cans

Explanation:

Picnic tables : garbage cans

= 5 : 2

Small campground = Picnic tables : garbage cans

= 30 : x

5 : 2 = 30 : x

5/2 = 30/x

Cross product

5 * x = 2 * 30

5x = 60

x = 60/5

= 12

5 : 2 = 30 : 12

large camp ground = Picnic tables : garbage cans

5 : 2 = 110 : x

5/2 = 110/x

Cross product

5 * x = 2 * 110

5x = 220

x = 220/5

= 44

5 : 2 = 110 : 44

Therefore, there are 12 garage cans in the small campground and 44 garbage cans in the large campground