Question

Jake is going on a 20-day vacation

to the beach and to the mountains.
He wants the time spent at the
beach to be 2/3 the time spent in the mountains. How many days will he spend at the beach, and how many
in the mountains?

Answer 1

Explanation:

b + m = 20

b = 2/3m

2/3m + m = 20

2/3m + 3/3m = 20

5/3m = 20

m = 20 * 3/5

m = 60/5

m = 12 days <=== mountains

b = 2/3m

b = 2/3(12)

b = 24/3

b = 8 days <====== beach