James, Matt and Emily are participating in a free throw contest for charity. Matt made four times as many points as James. Emily made 20 poi

Question

James, Matt and Emily are participating in a free throw contest for charity. Matt made four times as many points as James. Emily made 20 points more than Matt. Together they made a total of 155 points.
how to write an equation for the situation?
Solve equation for variable.

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Amelia 2 weeks 2021-09-09T13:29:57+00:00 1 Answer 0

Answers ( )

    0
    2021-09-09T13:31:40+00:00

    Answer:

    James=x=15 points

    Matt=4x=4×15=60 points

    Emily=4x+20= (4×15)+20= 60+20=80points

    Step-by-step explanation:

    You should breakdown the question by writing an expression to represent the points for each person

    Lets assume James had x points

    So Matt had 4 times as many points as James= 4x points

    Emily had 20 points more than Matt= 4x+20 points

    Total number of points all together was =155

    Write an expression for the total number of points all together

    x+4x+4x+20=155

    Solve for x in the equation

    x+4x+4x+20=155\\\\9x+20=155\\\\\\9x=155-20\\\\\\9x=135\\\\\\x=15

    Substitute values in expressions

    James=x=15 points

    Matt=4x=4×15=60 points

    Emily=4x+20= (4×15)+20= 60+20=80points

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