SOLUTION: in a coffee shop the raito of the number of customers who ordered regular coffee to the number who ordered decaffeinated coffee was 4 to 1. if the number of perople who ordered reg

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Question 502217: in a coffee shop the raito of the number of customers who ordered regular coffee to the number who ordered decaffeinated coffee was 4 to 1. if the number of perople who ordered regular coffee was 126 more than the number who ordered decaf, how many people ordered each tyoe of coffee?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the number of customers who ordered decaffeinated coffee, then x+126 cutomers ordered regular coffee, so we can right a proportion:
4%2F1+=+%28x%2B126%29%2Fx Solve for x. Cross-multiply.
4x+=+x%2B126 Subtract x from both sides.
3x+=+126 Divide both sides by 3.
x+=+42
42 customers ordered decaffeinated coffee and 168 (42+126) customers ordered regular coffee.
Check:
168%2F42+=+4%2F1