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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 1 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.

Answer :

The options that are true include:

A. One pound of pistachios plus 1 pound of almonds cost $20.

C. Reducing the number of pounds of almonds by 1 results in a total cost of $40.

E. The cost p, in dollars, of 1 pound of pistachios is modeled by 2p + 3(p – 4) = 48.

Cost of almond = a

Cost of pistachios = a + 4

Therefore, based on the information given, the equation to solve the question will be:

2(a + 4) + 3a = 48

Collect like terms

2a + 8 + 3a = 48

5a = 48 - 8

5a = 40

a = 40/5

a = 8

Almonds cost $8

Pistachios cost $12

In conclusion, the correct options are A, C, and E.

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