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Tracie and Marcia drove to Northern California to see Marcia’s sister Eureka. Tracie drove one hour more than four times as much as Marcia. The trip took a total of 21 driving hours. How many hours did Tracie drive?

User Krypton
by
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2 Answers

5 votes

Answer:17

Explanation:

Take the total miles driven .minus 1 divide by 5 .take that answer and multiply by 4 and add 1

User Peter Carter
by
8.3k points
3 votes

Tracie drove for 17 hours.

Explanation:

Given that,

Tracie and Marcia drove to Northern California to see Marcia’s sister Eureka.

Let us assume,

  • The number of hours drove by Marcia be 'x'.
  • The number of hours drove by Tracie is one hour more than four times as much as Marcia.

⇒ one hour more than four times of Marcia = 1+4x

The trip took a total of 21 driving hours.

To find the number of hours Marcia drove :

⇒ Tracie hours + Marcia hours = Total hours.

⇒ (1+4x) + x = 21

⇒ 1 + 5x = 21

⇒ 5x = 20

⇒ x = 20/5

⇒ x = 4

Therefore, Marcia drove for 4 hours.

To find the number of hours Tracie drove :

Substitute x=4, in (1+4x)

⇒ 1+4(4)

⇒ 1+16

⇒ 17 hours.

∴ Tracie drove for 17 hours.

User Commander
by
7.9k points
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