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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.

Respuesta :

lucic

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

[tex]x+4x+4x+20=155[/tex]

Solve for x in the equation

[tex]x+4x+4x+20=155\\\\9x+20=155\\\\\\9x=155-20\\\\\\9x=135\\\\\\x=15[/tex]

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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