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.

Question

Ann Boyd

Mathematics

6 October, 08:52

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.

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Answers (1)

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Jaliyah · Answer 1

To work out how much it is for a pound of pistachio or almonds:

You subtract 8 from 48 which leaves you with 40 then you divide 40 with 5 which leaves you with 8 (meaning $8 for a pound for almonds) and you add 4 to 8 which gives you 12 ($12 for a pound of pistachios)

then you substitute the answers into a, b, c, d and e.

Therefore, A, C