Number of pounds of macadamia nuts is 8 pounds and number of pounds of almonds is 4 pounds.
<u>Step-by-step explanation:</u>
Step 1:
Given total pounds of mixture = 12 pounds, cost of macadamia nuts per pound = $9, cost of almonds per pound = $5.25, total cost of mixture per pound = $7.75.
Let number of pounds of macadamia nuts be x and number of pounds of almonds be 12-x.
Step 2:
Form an equation using the above information.
⇒ 9x + 5.25 (12-x) = 12 × 7.75
⇒ 9x + 63 - 5.25x = 93
⇒ 9x - 5.25x = 30
⇒ 3.75x = 30
⇒ x = 8
Number of macadamia nuts is 8 pounds.
Step 3:
Calculate number pounds of almonds
⇒ Number of pounds of almonds = 12 - x = 4 pounds.
This is a linear function.
A linear function is a straight line that has a slope, and follows the formula: <em>
y = mx + b</em>
In which:
y = y
m = slope
x = x
b = y -intercept
hope this helps<em />
Remember you can do anything to an equation as long as you do it to both sides
2x+3(x-4)=x-20
first distribute
2x+3(x)+3(-4)=x-20
2x+3x-12=x-20
5x-12=x-20
minus x both sides
4x-12=-20
add 12 to both sides
4x=-8
divide both sides by 4
x=-2
