SOLUTION: a grocer wants to create a mixture of jolly ranchers and tootsie pops. if jolly ranchers sell for $2 per pound and tootsie pops sell for $5 per pound how many pounds of toosie pops

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Question 1130990: a grocer wants to create a mixture of jolly ranchers and tootsie pops. if jolly ranchers sell for $2 per pound and tootsie pops sell for $5 per pound how many pounds of toosie pops must be mixed with 20 pounds of jolly ranchers to create a mixture that sells for $4 per pound?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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a grocer wants to create a mixture of jolly ranchers and tootsie pops.
if jolly ranchers sell for $2 per pound and tootsie pops sell for $5 per pound
how many pounds of tootsie pops must be mixed with 20 pounds of jolly ranchers to create a mixture that sells for $4 per pound?
:
Let x = amt of $5 candy needed
the total is to be 20 lb, therefore:
(20-x) = amt of $2 candy
:
A typical mixture equation
5x + 2(20-x) = 4(20)
5x + 40 - 2x = 80
5x - 2x = 80 - 40
3x = 40
x = 40/3
x = 131%2F3 lb of the $5 candy (Jolly Rancher)
then
20 - 131%2F3 = 62%2F3 lb of $2 candy (tootie pops)