Question

Two runners are saving money to attend a marathon. The

first runner has $112 in savings, received a $45 gift from
a friend, and will save $25 each month. The second
runner has $50 in savings and will save $60 each month.
Which equation can be used to find m, the number of
months it will take for both accounts to have the same
amount of money?
112 - 25m + 45 = 50 - 60m
112 + 25 + 45m = 50m + 60
112 + 25 - 45m = -50m + 60
112 + 25m + 45 = 50 + 60m

Answer 1

d

Explanation:

Answer 2

112 + 25 m + 45 = 50 + 60 m is the required equation.

Explanation:

First Runner : Savings = $112

Gift = $45

Saving per month = $25

Second Runner : Savings = $50

Saving per month = $60

m: number of months it takes to save equal amount.

Now, total money saved by First runner = 112 + 45 + m x 25

and total money saved by second runner = 50 + m x 60

And both of them saves equal amount in m days.

⇒ 112 + 45 + 25 x m = 50 + m x 60

or, 112 + 25 m + 45 = 50 + 60 m is the required equation.