[Math] Math word problem

word problem

Laura is 2 inches taller than Rebecca. Max is 4 inches taller than Rebecca. The total height for the three girls is 150 inches. How tall is Rebecca?

I am having trouble figuring out Rebecca's height because I do not know how to use the given information effectively.

Can anyone give me a hint on how to make a good start? I'm stuck.

Best Answer

$$r+l+m=150$$ because the heights add up to 150. $$r+2=l$$ because Rebecca is 2 inches shorter than Laura $$r+4=m$$ because Rebecca is 4 inches shorter than Max Substitution into the first equation gives $$r+(r+2)+(r+4)=150$$

Where $r,l,m$ is the respective heights of the girls.

Can you take it from there?

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