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

The answer is D. You do not subtract, and the M needs to be behind 25. Hope this Helps!

Answer 2

The correct answer is the last option, that is,
`112 + 25m + 45 = 50 + 60m`

Explanation:

We have been given that the first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. Therefore, amount of money in the account of first running after m months will be:
`112+45+25m`

We have been given that the second runner has $50 in savings and will save $60 each month. Therefore, amount of money in the account of second running after m months will be:
`50 + 60m`

In order for amount of money to be equal in accounts of both the runners, we set up:

`112+45+25m=50+60m`

Upon rewriting the left hand side using commutative law, we get:

`112+25m+45=50+60m`

Therefore, we can see that the last option is the correct answer.