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A supermarket is selling two types of​ candies, orange slices and strawberry leaves. The orange slices cost $ 1.29 per pound and the strawberry leaves cost $ 1.79 per pound. How many pounds of each should be mixed to get a 13​-pound mixture that sells for $ 19.27​?

Respuesta :

sqdancefan

Answer:

  • 5 lb of strawberry leaves
  • 8 lb of orange slices

Step-by-step explanation:

Let "o" and "s" represent the number of pounds of orange slices and strawberry leaves in the mix, respectively. We want ...

  o + s = 13 . . . . . . . . . . . . . . . total weight

  1.29o +1.79s = 19.27 . . . . . .total cost

Solving the first equation for o, we can substitute that result into the second equation to get ...

  o = 13 -s

  1.29(13 -s) +1.79s = 19.27

  0.50s +16.77 = 19.27 . . . . eliminate parentheses

  0.50s = 2.50 . . . . . . . . . . . subtract 16.77

  s = 5 . . . . . . . . . . . . . . . . . . multiply by 2

  o = 13 -5 = 8

5 pounds of strawberry leaves should be mixed with 8 pounds of orange slices to get the desired mixture.

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