SOLUTION: Yolanda has a gourmet coffee shop with two different types of coffee. Type A costs $5.95 per pound and Type B costs $7.00 per pound. A customer wishes to purchase a mixture of the

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Question 986358: Yolanda has a gourmet coffee shop with two different types of coffee. Type A costs $5.95 per pound and Type B costs $7.00 per pound. A customer wishes to purchase a mixture of these, using two times more of Type A than Type B. If the total cost for the customer is $56.70, how many pounds of each did the customer buy?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
a pounds of type A
b pounds of type B
a%2Fb=2

ACCOUNT FOR COST
5.95a%2B7b=56.7

Substitute for either variable from the given ratio; here choosing a=2b:
5.95%282b%29%2B7b=56.7
%2811.9%2B7%29b=56.7
b=56.7%2F%2818.9%29
highlight%28b=3%29