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Marie's bowling score is 5 less than 3 times Ralph's score. The sum of their scores is 215. Find the score of each. Can anyone help me



Answer :

CatieSlotz
This is a system of equations. If M=Marie's score and R=Ralph's score then
M=3R-5
and
M+R=215

Using substitution, we get:
(3R-5)+R=215
4R-5=215
4R=220
R=55

Now we know Ralph scored a 55. We then plug this into either equation to get Marie's score:
M+(55)=215
M=160

So Ralph scored a 55 and Marie scored a160
This is a system of equations
M=3R-5
215=M+R
you can use substitution

215=3R-5+R
combine like terms, then
simplify and isolate the variable

215=4R-5
   add 5 on both sides
220=4R

divide by 4 on both sides

R=55

Plug R into a equation to find M

215=55+M

subtract by 55 on both sides

M=160

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