A man sells a type of nut for $7 per pound and a different one for $4.20 per pound, how much of each type should be used to make 24 pound mixture that sells for $5.37

type of nut = 10.

Different type of nut = 14.

Step-by-step explanation:

1 pound = $5.37

24 pound = 5.37 * 24

= $128.88.

Let X be the type of nut and Y be the different one.

Value of the nuts in dollars,

i. 7X + 4.2Y = 128.88

Weight of the nuts in pounds,

ii. X + Y = 24

Rearranging ii,

X = 24 - Y inputting into i,

7(24 - Y) + 4.2Y = 128.88

168 - 7Y + 4.2Y = 128.88

2.8Y = 39.12

Y = 14

Inputting the value of Y into ii,

X = 24 - 14

= 10

(x+3)(x+7)

step-by-step explanation: