On a road trip, Jessica drove twice as many miles as Amy did. Together, they drove 312 miles. How many miles did Amy drive? Cant seem to get the answer to this so please someone help! Thanks!

Respuesta :

Answer:

Amy drove 104 miles

Step-by-step explanation:

let 'a' = miles Amy drove

let '2a' = miles Jessica drove

a + 2a = 312

3a = 312

a = 312/3

a = 104

2a = 208

Check:  104+208 should equal 312 and it does

Answer: 104 miles

=========================================================

Explanation:

  • x = number of miles Amy drove
  • 2x = number of miles Jessica drove, since she drove twice the distance as Amy did

Combine the two expressions: x+2x = 3x

The two girls traveled a total distance of 312 miles, so 3x = 312

Divide both sides by 3 to solve for x. You should get x = 104

Amy drove 104 miles and Jessica drove 2*104 = 208 miles

Check:

Amy + Jessica = 104 + 208 = 312

The answer is confirmed.

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