valakthedefiler
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Sally drives 7 more hours than Kyle on their vacation. Together they drive a total of 35 hours. How long did each person drive

Let number of hours Kyle drove =
Let number of hours Sally drove = 7

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musiclover10045

Kyle drove x hours

Sally drove x  + 7 hours

Added together they both drove 2x + 7 hours

2x +7 = 35 hours

Subtract 7 from both sides:

2x = 28

Divide both sides by 2:

x = 14

Kyle drove 14 hours

Sally drove 21 hours

Kyle drove for 14 hours and Sally drove for 21 hours

Let number of hours Kyle drove = x

Let number of hours Sally drove = x+7

Therefore,

x + (x + 7) = 35

2x + 7 = 35

Collect like terms

2x = 35 - 7

2x = 28

x = 28/2

x = 14

Also, x + 7 = 24 + 7 = 21

Therefore, Kyle drove for 14 hours and Sally drove for 21 hours.

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