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Harman [31]
2 years ago
15

A store owner wants to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $17.60 pe

r pound should be mixed with 23 pounds of trail mix costing $3.70 per pound to create a mixture worth $8.47 per pound.
Mathematics
2 answers:
kvv77 [185]2 years ago
4 0
Let x = pounds of chocolate we need to find.

17.60x + 23(3.70) = 8.47(x + 23)

Solve for x to find your answer.
Lesechka [4]2 years ago
4 0

Answer:

2.12 pounds

Step-by-step explanation:

We can write an expression relating the cost of chocolate and trail mix to the total cost of the mixture. Let x by the number of pounds of chocolate needed:

We know the total cost is $8.47. We know that the price of the chocolate per pounds is:

17.60/x

and the total price of the trail mix per pound is:

=3.7/23=0.16

Therefore the expression must be writen per pound mixture:

8.47=17.60/x+0.16

We can solve x by multiplying by x:

8.47\cdot{x}=17.60+0.16\cdot{x}

Solve for x:

8.47\cdot{x}-0.16\cdot{x}=17.60

8.31\cdot{x}=17.60

x=17.60/8.31=2.12

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