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Mario set a goal to run 170 miles this month to prepare for a marathon. So far this month, he has run 85 miles. Write and solve an equation to show how many miles Mario has left to run this month to reach his goal.

A. [tex]$\frac{m}{85}=170; \ m=14,450$[/tex] miles
B. [tex]$m-85=170; \ m=255$[/tex] miles
C. [tex]$m+85=170; \ m=85$[/tex] miles
D. [tex]$85m=170; \ m=2$[/tex] miles

Answer :

To determine how many miles Mario has left to run this month, we start by setting up an equation based on the information given.

Mario's goal is to run a total of 170 miles.
So far, Mario has run 85 miles.

We need to find out how many miles, denoted by [tex]\( m \)[/tex], he has left to run. The equation can be set up by stating that the miles he has left to run plus the miles he has already run should equal his total goal.

So, we can write the equation as:
[tex]\[ m + 85 = 170 \][/tex]

Now, let's solve this equation for [tex]\( m \)[/tex]:

1. Subtract 85 from both sides of the equation to isolate [tex]\( m \)[/tex]:
[tex]\[ m + 85 - 85 = 170 - 85 \][/tex]

2. Simplify both sides:
[tex]\[ m = 85 \][/tex]

Therefore, Mario has 85 miles left to run to reach his goal of 170 miles for the month.

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