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

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) (Show Source): You can put this solution on YOUR website!
Let = pounds of type A needed
Let = pounds of type B needed
----------------
(1)
(2)
-------------------------
Substitute (1) into (2)
(2)
(2)
(2)
(2)
and, since
(1)
(1)
(1)
----------------
6 pounds of type A is needed
3 pounds of type B is needed
-----------------
check:
(2)
(2)
(2)
OK
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
x is how much of type B
2x is how much of type A

, accounting for COST.

, type B coffee pounds;
, type A coffee pounds.

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