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?

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gabie10129 gabie10129 · Answer 1 · 2017-06-21T18:58:36+02:00

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

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windyyork windyyork · Answer 2 · 2019-07-01T08:17:06+02:00

Answer: Our required equation would be

[tex]157+25m=50+60m[/tex]

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

[tex]\$112+\$45+25m\\\\=157+25m[/tex]

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

[tex]50+60m[/tex]

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

So, it becomes,

[tex]157+25m=50+60m\\\\157-50=60m-25m\\\\107=35m\\\\\dfrac{107}{35}=m\\\\m=3.05\approx 3\ months[/tex]

Hence, our required equation would be

[tex]157+25m=50+60m[/tex]