need some help with this???

User Generated

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Mathematics

Description

Michael and Kathryn bowl together and their combined total score for one game was 425 points. Michael’s score was 70 less than twice Kathryn’s. What were their scores? 
      
      
      
      

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Explanation & Answer

M= Michael's score

K= Kathryn's score

We have:

1. M+K=425

2. M=2*K-70

Solving:

from the 1st:

K=425-M

Substitute in the 2nd: M=2*(425-M)-70

or:

M=850-2*M-70

M+2*M=850-70

3*M=780

M=260 (this is already telling us it's the 3rd choice above, but we'll check K anyway)

K=425-260=165

So indeed it's the 3rd choice.




Anonymous
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