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A candy store sells 8-pound bags of mixed hazelnuts and cashews. If c pounds of cashews are in a bag, the price p of the bag can be found using the formula p= 2.59c + 1.72(8-c). If one bag is priced at $18.11, how many pounds of cashews does it contain

User Lisha
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2 Answers

1 vote

Final answer:

The bag contains 5 pounds of cashews.

Step-by-step explanation:

To find the number of pounds of cashews in the bag, we need to solve the equation p = 2.59c + 1.72(8 - c) where p is the price of the bag and c is the number of pounds of cashews in the bag. We are given that the price of the bag is $18.11.

So, we have 18.11 = 2.59c + 1.72(8 - c).

Simplifying the equation and solving for c:

18.11 = 2.59c + 13.76 - 1.72c

4.35 = 0.87c

c = 4.35/0.87

c = 5 pounds

Therefore, the bag contains 5 pounds of cashews.

User Midhu
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5 votes
C= how many pounds of cashews in a bag
P=how much the cost
Solve for C
we know that P would have to be $18.11
Sub wat P= to in the equation
$18.11=2.59c+1.79(8-c)
Start with multiplying
1.79(8)=14.32(c)=14.32c
Then add like terms
2.59c+14.32c=16.91c
Divide to get C by itself. So that 16.91 cancel itself.
16.91c/16.91c=18.11/16.91
C=1.07
I might be wrong but I tried so wateves

User Dotdotcommadot
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