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how many minutes did Heidi, Steve, and Joy each travel to get to the movie theater on Saturday? It took Heidi twice as long as Joy to get there. It took Steve 10 minutes more than it took both girls together. All three took 64 minutes to get to the theater.



Answer :

sqdancefan

Answer:

  • Joy: 9 minutes
  • Heidi: 18 minutes
  • Steve: 37 minutes

Step-by-step explanation:

You want to know the individual travel times if Heidi took twice as long as Joy, and Steve took 10 minutes longer than those two together. Their total travel time was 64 minutes.

Setup

Let j represent Joy's travel time. Then Heidi's is 2j, and Steve's is (j +2j +10).

The total travel time is ...

  j +2j +(j +2j +10) = 64

Solution

Subtracting 10 gives ...

  6j = 54

  j = 9 . . . . . . . divide by 6

  2j = 18

  j +2j +10 = 37

The travel times of Joy, Heidi, and Steve were 9, 18, and 37 minutes, respectively.

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