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.

Answer 1

The expression to find the total discounted cost for the nuts is:

D = $26.64 - ($26.64 × 0.20)

Step-by-step explanation:

To find the total cost of 2 pounds of peanuts, 3 pounds of cashews, and 1 pound of almonds with a 20% discount, we first need to calculate the total cost without the discount and then apply the discount to the total cost. We use the given prices for each type of nut: Peanuts: $3.95 per pound, Cashews: $4.25 per pound, and Almonds: $5.99 per pound.

The total cost without discount (T) can be calculated as follows:

T = (2 pounds of peanuts × $3.95 per pound) + (3 pounds of cashews × $4.25 per pound) + (1 pound of almonds × $5.99 per pound)

T = (2 × $3.95) + (3 × $4.25) + (1 × $5.99)

T = $7.90 + $12.75 + $5.99

T = $26.64

Now, we apply the 20% discount to get the discounted total cost (D):

D = T - (T × 20%)

D = $26.64 - ($26.64 × 0.20)

D = $26.64 - $5.328

D = $21.312

In summary, the expression to find the total discounted cost for the nuts is:

D = $26.64 - ($26.64 × 0.20)

Answer 2

(2x3.95 + 3x4.25 + 5.99) x 0.8

Step-by-step explanation:

The 20% (0.2) discount can be converted into a multiplier factor by subtracting it from 1, that is

1 - 0.2 = 0.8 (80% final price with discount).

The expression must contain the respective multiplications of quantity by price:

Peanuts = 2 x $3.95

Cashews = 3 x $4.25

Almonds = 1 x $5.99

The partial expression is: 2x3.95 + 3x4.25 + 5.99

Additionally, we multiply that expression by the final price factor with discount, so we have

(2x3.95 + 3x4.25 + 5.99) x 0.8

Hope this helps!