a saleswomen sells a dried fruit mixture for $5.7 per pound and nuts for $14.55 per pound. She wants to blend the two to get a 10 pound mixture that she will sell for $9.24 per pound. How much should she use?

to get a 10 pound mixture she should use lb of fruit mixture and lb of nuts.

Question

26-06-2016
Mathematics

Answered

a saleswomen sells a dried fruit mixture for $5.7 per pound and nuts for $14.55 per pound. She wants to blend the two to get a 10 pound mixture that she will sell for $9.24 per pound. How much should she use?

to get a 10 pound mixture she should use lb of fruit mixture and lb of nuts.

Verified Answer :

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olemakpadu olemakpadu · Answer 1 · 2016-06-26T18:30:03-04:00

Let the fruit mixture of $5.7 per pound be for x pounds.

The nut of $14.55 per pound would then be: (10 -x).

Since the total blend of both = 10 pounds, selling for $9.24 per pound.

cost of 1st type + cost of second type = Total cost of blend mixture

5.7x + 14.55(10 - x) = 9.24*10

5.7x + 145.5 - 14.55x = 92.4

5.7x - 14.55x = 92.4 - 145.5

-8.85x = -53.1

x = -53.1/-8.85

x = 6

The other will be (10 -x) = 10 - 6 = 4.

She should use 6 lb of fruit mixture and 4 lb of nuts.

a saleswomen sells a dried fruit mixture for $5.7 per pound and nuts for $14.55 per pound. She wants to blend the two to get a 10 pound mixture that she will sell for $9.24 per pound. How much should she use?to get a 10 pound mixture she should use __ lb of fruit mixture and __ lb of nuts.

Verified Answer :

Related Questions

a saleswomen sells a dried fruit mixture for $5.7 per pound and nuts for $14.55 per pound. She wants to blend the two to get a 10 pound mixture that she will sell for $9.24 per pound. How much should she use?

to get a 10 pound mixture she should use lb of fruit mixture and lb of nuts.