Question

A health food store sells a mixture of raisins and roasted nuts.

Raisins sell for $4.00/kg and nuts sell for $6.00/kg. How many
kilograms of each should be mixed to make 40 kg of this snack
worth $4.75/kg?

Raisins= ?kg
Nuts= ?kg

Answer 1

the answer is

raisins= 25 kg

nuts= 15 kg

Explanation:

Answer 2

Raisins = 25 kg

Nuts = 15 kg

Explanation:

Given that:

Kilograms of snack to be made = 40 kg

Price per kg would be $4.75kg.

Price of 40 kg would be = 4.75 * 40 = $190

Let,

x be the kilograms of raisins

y be the kilograms of nuts

According to given statement;

x+y=40 Eqn 1

4.00x+6.00y=190 Eqn 2

Multiplying Eqn 1 by 4

4(x+y=40)

4x+4y=160 Eqn 3

Subtracting Eqn 3 from Eqn 2

(4x+6y)-(4x+4y)=190-160

4x+6y-4x-4y=30

2y=30

Dividing both sides by 2

`(2y)/(2)=(30)/(2)\\y=15`

Putting y=15 in Eqn 1

x+15=40

x=40-15

x=25

Hence,

Raisins = 25 kg

Nuts = 15 kg