Solve the following problem. It may be helpful to use draw a chart on scrap paper to organize the information and write the equa tion. Be sure to show all steps (V.E.S.T.) and work in order to receive full credit. A grocer wants to make a 10-pound mixture of cashews and peanuts that he can sell for $3.29 per pound. If cashews cost $5.60 per pound and peanuts cost $2.30 per pound, how many pounds of each must he mix?
2 answers:
Answer: 3 pounds of cashews and 7 pounds of peanuts.
Step-by-step explanation:
Let C=cashews
Let P=peanuts
nC + (10-n)P=3.29 x 10
nC + (10-n)P=32.9
C=5.6
P=2.3
5.6n + 2.3(10-n) =32.9
5.6n + 23 - 2.3n = 32.9
3.3n = 9.9
n = 3
10 - n = 7
he needs to mix 3 pounds of cashews and 7 pounds of peanuts.
Below is the solution: <span>Using 2 equations: Quantity: c + p = 10 lbs Value::: 5.6c + 2.3p = 3.29*10 dollars </span><span>Multiply thru the Quantity Eq. by 560 Multiply thru the Value Eq. by 100 </span><span>560c + 560p = 5600 </span><span>560c + 230p = 3290 </span><span>Subtract and solve for "p": 330p = 2310 p = 7 lbs (amt. of peanuts needed) </span><span>Solve for "c" using c+p = 10 c + 7 = 10 c = 3 lbs (amt. of cashews needed)</span>
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