PLEASE ANSWER! Giving away 15 points if someone answers!!!

Venetta buys 2 pounds of pistachios and 3 pounds of almonds. The pistachios cost $4 more per pound than the almonds. She pays a total of $48. Which of the following are true? Select all that apply. A. One pound of pistachios plus 1 pound of almonds cost $20. B. The pistachios cost twice as much per pound as the almonds. C. Reducing the number of pounds of almonds by one results in a total cost of $40. D. The cost a, in dollars, of 1 pound of almonds is modeled by 2(a – 4) + 3a = 48. E. The cost p, in dollars, of 1 pound of pistachios is modeled by 2p + 3(p – 4) = 48.

Respuesta :

I think it would be C and D but I'm not sure Ik I ain't A or B bc it doesn't tell us how much the almonds r

Answer:

Option A and C.

Step-by-step explanation:

Venetta buys 2 pounds of pistachios and 3 pounds of almonds for $48.

The cost of pistachios $4 more per pound than the almonds.

Let the cost of almonds be a

Therefore, cost of pistachios p = 4 + a ------(1)

Venetta bought 2 pound of pistachios and 3 pounds of almonds for $48, so the equation will be

2p + 3a = 48 -----------(2)    [we will substitute equation 1]

2(4+a) + 3a = 48 --------------(3)

(2 × 4) + (2 × a) + 3a = 48

2a + 3a + 8 = 48

5a + 8 = 48

5a = 48 - 8

5a = 40

a = 40/5

a = 8

hence the cost of almonds are $8 per pound.

the cost of pistachios is 4 + 8 = $12 per pound.

Option A and C is the correct answer.