A student wrote the equation 4(x+5.5)=3(1.5x+4.75) to represent the problem shown. Find her mistake and correct it. Petra and he

Question

A student wrote the equation 4(x+5.5)=3(1.5x+4.75) to represent the problem shown. Find her mistake and correct it.

Petra and her 4 friends went to the movies. They each bought a ticket for x dollars and spent $5.50 each on snacks. Valentina and her 3 friends went to the movies and paid 1.5 times as much for each of their tickets as Petra. Everyone in Valentina’s group also spent $4.75 each on snacks. If both groups spent the same amount, what is the cost of a ticket for Petra’s group?

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Thiên Thanh 5 years 2021-08-03T18:48:05+00:00 1 Answers 54 views 0

Answers ( )

  1. kiet
    0
    2021-08-03T18:49:31+00:00
    Reply

    Answer:

    • $8.5

    Step-by-step explanation:

    The first group consists of Petra and 4 friends, so the total number of members is 5, therefore the left side of equation should be:

    • 5(x + 5.5)

    The second group consists of 4 people, Valentina and 3 friends, therefore the right side of the equation should be:

    • 4(1.5x + 4.75)

    Solving the equation to find the cost of a ticket for Petra’s group:

    • 5(x + 5.5) = 4(1.5x + 4.75)
    • 5x + 27.5 = 6x + 19
    • 6x – 6x = 27.5 – 19
    • x = 8.5

    Cost of a ticket is $8.5

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