Question

A town in east Texas received 35 inches of rain in two weeks. If it kept raining at this rate for a 31−day month, how much rain did the town receive? Round your answer to the nearest inch.

Answer 1

78 inches in 31 days.

Explanation:

35/14=2.5

2.5*31=77.5

Answer 2

The amount of rain the town received in 31-day month is ≈ 78 inches to the nearest inches.

Explanation:

We can use proportion to solve this

Let x represent the amount of rain the town receive in 31-day month

Two weeks is equivalent to 14 days

14 days = 35 inches

31 days = x

Cross-multiply

14 × x = 31×35

14 x = 1085

Divide both-side by 14 to get the value of x

`(14x)/(14)` =
`(1085)/(14)`

(On the left-hand side of the equation 14 at the numerator will cancel-out 14 at the denominator leaving us with just x while on the left-hand side of the equation 1085 will be divided by 14)

x = 77.5 inches

x ≈ 78 inches to the nearest inches

Therefore the amount of rain the town received in 31-day month is ≈ 78 inches to the nearest inches.