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18 March, 21:25

Question 10

Christine, Jim, and Ali sent a total of 89

text messages over their cell phones during the weekend. Jim sent

2 times as many messages as Ali. Ali sent

5 fewer messages than Christine. How many messages did they each send?

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Answers (1)
  1. 19 March, 00:12
    0
    A = 21

    J = 2A = 42

    C = A+5 = 26

    Step-by-step explanation:

    C = christines text messages

    J = jims messages

    A = ali messages

    Jim sent 2 times as many messages as Ali.

    J = 2A

    Ali sent 5 fewer messages than Christine.

    A = C-5

    A+5 = C

    Christine, Jim, and Ali sent a total of 89 text messages

    C+J+A = 89

    substitute

    C + 5 = A

    A+5 + J+A = 89

    combine like terms

    2A + 5+J = 89

    now substitute J = 2A

    2A + 5+2A = 89

    combine like terms

    4A + 5 = 89

    subtract 5 to each side

    4A + 5-5 = 89-5

    4A = 84

    divide by 4

    A = 21

    J = 2A = 42

    C = A+5 = 26
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