Question

Maya runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 minutes?

Answer 1

Answer:

5.6 miles.

Step-by-step explanation:

7/80=x/64 is our equation

Cross multiply to solve for x

x=7*64/80

x=5.6mi

Hope this helps ^-^

Answer 2

Answer:

5.6 miles

Step-by-step explanation:

Let's set up a proportion using the following setup.

$\frac{miles }{minutes}=\frac{miles }{minutes}$

We know Maya can run 7 miles in 80 minutes.

$\frac{7miles }{80minutes}=\frac{miles }{minutes}$

We don't know how many miles she can run in 64 minutes. Let's say she can run x miles in 64 minutes.

$\frac{7miles }{80minutes}=\frac{x miles }{64 minutes}$

$\frac{7}{80}=\frac{x}{64}$

We want to solve for x (miles in 64 minutes). Therefore, we must isolate x on one side of the equation.

x is being divided by 64. The inverse of division is multiplication. Multiply both sides of the equation by 64.

$64*\frac{7}{80}=\frac{x}{64}*64$

$64*\frac{7}{80}=x$

$64*0.0875=x$

$5.6=x$

$x= 5.6 miles$

Maya can run 5.6 miles in 64 minutes.