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

112 + 25m + 45 = 50 + 60m is correct

Explanation:

I got it right. 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.

I hope this helped. I am sorry if you get this wrong.