A store pays a warehouse facility $1.25 per pound for cashews and $2 per pound for walnuts. The store pays $1.55 per pound for a 20-pound mix of cashews and walnuts. At these rates, how many pounds of cashews, x, and how many pounds of walnuts, y, are in the mixture?
Answers
Answer:
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Answer:
x = 12
y = 8
Step-by-step explanation:
First, the total pounds of both cashews + walnuts = 20 pounds
x + y = 20
Second, to figure out the total price of the mixture, you need to "what stores pay for each pound of the mixure" times "The total pounds of the mixure"
1.55 x 20 = 31
Now, to figure out the pounds of the cashews and walnuts, you need to use the total price.
1.25x + 2y = 31
And to find out how much pounds is in x and y, you need to replace one of them, in thie explanation, we will replace y with the remainder of the total number of pounds minusing x.
1.25x + 2(20-x) = 31
through this equation, we can find that x = 12
Now, 20 is the total pounds, if 20 minuses the pounds of cashews it would be the pounds of walnuts.
20 - 12 = 8
TA-DA!!!! Now
pounds of walnuts = 8
pounds of cashews = 12