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?

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.

Answer Link

adioabiola adioabiola · Answer 2 · 2021-11-03T12:42:54+01:00

The number of pounds of peanuts and cashews should Ned use is 11 pounds and 9 pounds respectively.

Given:

let

pound of peanut = x

pounds of cashew = y

cost of peanut per pound = $10

cost of cashew per pound = $9

Total pounds = 20

Total cost = $9.55 × 20 pounds

= $191

The equations:

x + y = 20. (1)

10x + 9y = 191. (2)

multiply (1) by 10 to eliminate x

10x + 10y = 200 (3)

10x + 9y = 191 (2)

subtract (2) from (3)

y = 9

substitute y = 9 into (1)

x + y = 20

x + 9 = 20

x = 20 - 9

x = 11

Therefore, the number of pounds of peanuts and cashews should Ned use is 11 pounds and 9 pounds respectively.