Question

Felix is driving to his grandmother’s house. He has traveled 20 miles, which is 25% of the trip. How many miles is the trip? OPTIONS 5 miles

Answer 1

Answer: 80 miles

Explanation:

We can set up an equation to help us solve. We know that a part divided by a whole and multiplied by 100 becomes a percent. We also know that a percent divided by 100 becomes a decimal. Let x be the miles of the whole trip.

Given equation:

`\displaystyle (20)/(x)*100 =25\%`

Divide both sides of the equation by 100:

`\displaystyle (20)/(x) =0.25`

Multiply both sides of the equation by x:

`\displaystyle 20=0.25x`

Divide both sides of the equation by 0.25:

`\displaystyle 80=x`

Reflexive property:

`\displaystyle x=80`