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

Explanation:

Step1: Calculate first runner's money

The first runner has an initial amount of $112 + 45$ (savings + gift) and saves $25$ each month. So after $m$ months, the total amount of money is $112 + 45+25m$.

Step2: Calculate second runner's money

The second runner has an initial savings of $50$ and saves $60$ each month. So after $m$ months, the total amount of money is $50 + 60m$.

Step3: Set the two amounts equal

We want to find when the two amounts are the same, so we set up the equation $112 + 45+25m=50 + 60m$.

Answer:

D. $112 + 25m+45 = 50 + 60m$