Question

The prices per pound of different types of nuts are shown. write an expression that can be used to find the total cost of 2 pounds of peanuts, 3 pounds of cashews, and 1 pound of almonds, all for 20 % off.

Peanuts = $3.95 per pound
Cashews = $4.25 per pound
Almonds = $5.99 per pound

Please help! Thank you

Answer 1

expression for total cost is given by

`0.80(3.95x+4.25y+5.99z)`

Explanation:

Here we need to find the expression for the total cost

Let us find the cost for x pounds of peanut , y pounds of cashews and z pounds of almonds

cost of 1 pound of peanut = $3.95

cost of x pounds of peanut = $3.95x

cost of 1 pound of cashews = $4.25

cost of y pounds of cashews = $4.25y

cost of 1 pounds of almonds = $5.99

cost of z pounds of almonds = $5.99z

total cost =
`3.95x+4.25y+5.99z`

cost after 20% off = total cost - 20% of total cost

= 80% of total cost

cost after 20% off =80%
`(3.95x+4.25y+5.99z)`

cost after 20% off =
`0.80(3.95x+4.25y+5.99z)`

now we can plug x= 2 , y= 3 and z=1

so we have

cost after 20% off =
`0.80(3.95(2)+4.25(3)+5.99(1))` =$ 21.31