Question

One vegetable warehouse had 210 tons of potatoes, another one had 180 tons. 90 tons of potatoes were delivered to the first and 120 tons to the second warehouse every day. In how many days will the first warehouse have 1.2 times less potatoes than the second warehouse?

Answer 1

the answer will be 90

Answer 2

Define n:

Let n be the number of days

First warehouse

existing potatoes = 210 tons

Daily delivery = 90 tons

⇒ Total quantity = 210 + 90n

Second warehouse

existing potatoes = 180 tons

Daily delivery = 120 tons

⇒ Total quantity = 180 + 120n

Solve n:

180 + 120n = 1.2 (210 + 90n)

180 + 120n = 252 + 108n

120n - 108n = 252 - 180

12n = 72

n = 6

Answer: 6 days