two runners are saving money to attend a marathon. the first runner has $112 in savings, received a $45 gift…

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? o 112 - 25m + 45 = 50 - 60m o 112 + 25 + 45m = 50m + 60 o 112 + 25 - 45m = -50m + 60 o 112 + 25m + 45 = 50 + 60m

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? o 112 - 25m + 45 = 50 - 60m o 112 + 25 + 45m = 50m + 60 o 112 + 25 - 45m = -50m + 60 o 112 + 25m + 45 = 50 + 60m

Answer

Answer:

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

Explanation:

Step1: Calculate first - runner's money

The first runner starts with $112$, gets a $45$ gift, and saves $25$ per month. So the amount of money $A_1$ after $m$ months is $A_1=112 + 45+25m$.

Step2: Calculate second - runner's money

The second runner starts with $50$ and saves $60$ per month. So the amount of money $A_2$ after $m$ months is $A_2 = 50+60m$.

Step3: Set the two amounts equal

To find when they have the same amount of money, we set $A_1 = A_2$, so $112 + 45+25m=50 + 60m$.