Q:

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.

Accepted Solution

A:
Answer:James=x=15 pointsMatt=4x=4Γ—15=60 pointsEmily=4x+20= (4Γ—15)+20= 60+20=80pointsStep-by-step explanation:You should breakdown the question by writing an expression to represent the points for each personLets assume James had x pointsSo Matt had 4 times as many points as James= 4x pointsEmily had 20 points more than Matt= 4x+20 pointsTotal number of points all together was =155Write 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 expressionsJames=x=15 pointsMatt=4x=4Γ—15=60 pointsEmily=4x+20= (4Γ—15)+20= 60+20=80points