Question

A grocer wants to make a 10-pound mixture of peanuts and cashews that he can sell for $4.75 per pound. If peanuts cost $4.00 per pound and cashews cost $6.50 per pound, how many pounds of cashews should he use?
a=3

b=4

c=6

d=7

Answer 1

3 lbs of Cashews, and 7 lbs of Peanuts

$4.00P + 6.50C = ($4.75/lbs)(10lbs)
$4.00(7) + $6.50(3) = $47.50
$28.00 + $19.50 = $47.50
$47.50 = $47.50

Therefore it's 3lbs of Cashews

I had help from my algebra teacher last year with this same problem.

Answer 2

Answer:

The pounds of the cashews are used be 3 pound .

Option (a) is correct .

Step-by-step explanation:

Let us assume that the number of pounds of peanuts be x .

Let us assume that the number of pounds of the cashews be y .

As given

A grocer wants to make a 10-pound mixture of peanuts and cashews that he can sell for $4.75 per pound.

Than the equation becomes

x + y = 10

As given

If peanuts cost $4.00 per pound and cashews cost $6.50 per pound .

Than the equation becomes

4.00x + 6.50y = 4.75 × 10

$\frac{4x}{100} + \frac{650y}{100} = \frac{475\times 10}{100}$

Simplify the above

400x + 650y = 4750

Than the two equations are

x + y = 10  and 400x + 650y = 4750

Multiply x + y = 10 by 400 and subtracted from  400x + 650y = 4750  .

400x - 400x + 650y - 400y = 4750 - 4000

250y = 750

$y = \frac{750}{250}$

y = 3 pound

Therefore the pounds of the cashews are used be 3 pound .

Option (a) is correct .