SOLUTION: A bakery wants to make a dessert out of chocolate and almonds. If the cost of chocolate is $.75 a pound, and almonds is $.50 a pound, then how many pounds of chocolate should be us

Question 218869: A bakery wants to make a dessert out of chocolate and almonds. If the cost of chocolate is $.75 a pound, and almonds is $.50 a pound, then how many pounds of chocolate should be used to make 30 pounds of the dessert that costs the bakery $.65 a pound?
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
Let a = amt of almonds,,,,,and c= amt of chocolate,,,,,in #'s
.
a+c=30,,,a=30-c
.
.
.75*c + .50*a =.65 * 30,,,,,subst
.
.75c +.5(30-c) = .65*30
.
.75c +15 -.5c = 19.5
.
.25c =4.5
.
c=18 #,,,,,a=30-18=12 #
.
.
check,,,,.75(18) +.5(12) =.65*30
.
13.5 + 6 = 19.5,,,,ok
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