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olga nikolaevna [1]
3 years ago
13

Ned, the owner of neds shop, sells peanuts for $10 per pound and cashews for $9 per pound. Ned wants to create a 20 pound barrel

of mixed nuts and sell it for $9.55 per pound. How many pounds of peanuts and cashews should Ned use?
Mathematics
1 answer:
Ymorist [56]3 years ago
4 0
We will use a system of equation for this one. 
P=Peanuts; C=Cashews
P+C=20
This represents the pounds.
10P+9C=191
We can make the first equation equal C.
C=20-P
10P+9(20-P)=191
10P+180-9P
P+180=191
P=11
There are 11 pounds of peanuts, which means there's 9 pounds of cashews.

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\begin{gathered} -3(3a+4)\text{ = 3}\times5 \\ -3(3a+4)=\text{ 15} \\ \text{Expand the bracket} \\ -9a\text{ - 12 = 15} \\ \text{Collect like terms} \\ -9a\text{ = 15 + 12} \\ -9a\text{ = 27} \\ \text{Divide both sides by -9} \\ \frac{-9a}{-9}=\frac{27}{-9} \\ a\text{ = -3} \end{gathered}

To verify if the solution is correct, substitute a = -3 into the question given. If the Right Hand Side equals the Left Hand Side, then the solution is correct.

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Since the Left Hand Side = Right Hand Side = 7, the solution a = -3 is correct

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