SOLUTION: ADVANCED RATIO PROBLEM: The ratio of greens to purples balanced on the ledge was 3 to 17. If there were 400 greens and purples balanced on the ledge, how many were greens?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: ADVANCED RATIO PROBLEM: The ratio of greens to purples balanced on the ledge was 3 to 17. If there were 400 greens and purples balanced on the ledge, how many were greens?       Log On


   

Question 971333: ADVANCED RATIO PROBLEM: The ratio of greens to purples balanced on the ledge
was 3 to 17. If there were 400 greens and purples balanced on the ledge, how
many were greens?
Thank you!
Answer by Edwin McCravy(20063) About Me  (Show Source):
You can put this solution on YOUR website!
ADVANCED RATIO PROBLEM: The ratio of greens to purples balanced on the ledge
was 3 to 17. If there were 400 greens and purples balanced on the ledge, how
many were greens?
matrix%281%2C2%2C3%2Cgreens%29%2Fmatrix%281%2C2%2C17%2Cpurples%29%22%22=%22%22matrix%281%2C2%2CN%2Cgreens%29%2Fmatrix%281%2C2%2C400-N%2Cpurples%29

Cross multiply: Left numerator times right denominator equals right
numerator times left denominator:

3%2A%28400-N%29%22%22=%22%22N%2A17

1200-3N%29%22%22=%22%2217N

-3N-17N%22%22=%22%22-1200

-20N%22%22=%22%22-1200

Divide both sides by -20:

N%22%22=%22%2260

Edwin