SOLUTION: please help me solve this problem,,A gourmet coffee shop has two different types of coffe.Type A cost PhP5.95 per pound and type B costs php7.00 per pound.A customer wishes to purc

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Question 912003: please help me solve this problem,,A gourmet coffee shop has two different types of coffe.Type A cost PhP5.95 per pound and type B costs php7.00 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 PhP56.70,how many pounds of each did the customer buy?
Found 2 solutions by josmiceli, josgarithmetic:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = pounds of type A needed
Let +b+ = pounds of type B needed
----------------
(1) +a+=+2b+
(2) +5.95a+%2B+7b+=+56.7+
-------------------------
Substitute (1) into (2)
(2) +5.95%2A2b+%2B+7b+=+56.7+
(2) +11.9b+%2B+7b+=+56.7+
(2) +18.9b+=+56.7+
(2) +b+=+3+
and, since
(1) +a+=+2b+
(1) +a+=+2%2A3+
(1) +a+=+6+
----------------
6 pounds of type A is needed
3 pounds of type B is needed
-----------------
check:
(2) +5.95%2A6+%2B+7%2A3+=+56.7+
(2) +35.7+%2B+21+=+56.7+
(2) +56.7+=+56.7+
OK

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x is how much of type B
2x is how much of type A

%285.95%29%282x%29%2B7%2Ax=56.70, accounting for COST.

18.9x=56.70

highlight%28x=3%29, type B coffee pounds;
highlight%282x=6%29, type A coffee pounds.