MATH SOLVE

4 months ago

Q:
# 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 – 60m112 + 25 + 45m = 50m + 60112 + 25 – 45m = –50m + 60112 + 25m + 45 = 50 + 60m

Accepted Solution

A:

The equation that we need to solve is: $157 + $50*m = $50 + $60*mAnd the solution is m = 10.7 months.Which equation models the situation?For the first runer we have a initial amount of $112 + $45 = $157 plus $50 per month, so we can write:f(m) = $157 + $50*mAnd the second runner has an initial amount of $50 and saves $60 per month, so we can write the linear equation:g(x) = $50 + $60*mThey will have the same amount of money when:f(x) = g(x) $157 + $50*m = $50 + $60*m$107 = $10*m$107/$10 = m = 10.7So, after 10.7 months, both accounts will have the same money.If you want to learn more about linear equations: