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?

Answer 1

Answer: Our required equation would be

$157+25m=50+60m$

Step-by-step explanation:

Since we have given that

Amount the first runner has in savings = $112

Amount the first runner received a gift from a friend = $45

Amount the first runner saved each month = $25

Let the number of months be 'm'.

So, Total amount in the first runner account is given by

$\ 112+\ 45+25m\\\\=157+25m$

Similarly,

Amount the second runner has in savings = $50

Amount the second runner saved each month = $60

so, the total amount in the second runner account is given by

$50+60m$

According to question, Both the accounts have same amount of money.

So, it becomes,

$157+25m=50+60m\\\\157-50=60m-25m\\\\107=35m\\\\\dfrac{107}{35}=m\\\\m=3.05\approx 3\ months$

Hence, our required equation would be

$157+25m=50+60m$

Answer 2

Hope this helps but I think the answer could be : 157+25m=50+60m