Mr. Yi buys vegetables at a market. He purchases 6 pounds of potatoes, p, and 3 pounds of onions, n, for $18. Onions cost twice as much as potatoes. To determine the unit price for each item, his daughter sets up and solves the system of equations shown. 6p + 3n = 18 and 2n = p 6 (2n) + 3n = 18 12n + 3n = 18 15n = 18; n = $1.20 Onions cost $1.20 per pound. Analyze the daughter's solution. Which statements are true? Check all that apply.

The equation 2n = p should be 2p = n. The equation 6p + 3n = 18 should be

6n + 3p = 18. The actual cost of the onions is $3.00 per pound. Potatoes cost $0.60 per pound. Potatoes cost $1.50 per pound. Potatoes cost $2.40 per pound.

Question

Blimpie

Mathematics

14 October, 07:36

Mr. Yi buys vegetables at a market. He purchases 6 pounds of potatoes, p, and 3 pounds of onions, n, for $18. Onions cost twice as much as potatoes. To determine the unit price for each item, his daughter sets up and solves the system of equations shown. 6p + 3n = 18 and 2n = p 6 (2n) + 3n = 18 12n + 3n = 18 15n = 18; n = $1.20 Onions cost $1.20 per pound. Analyze the daughter's solution. Which statements are true? Check all that apply.

The equation 2n = p should be 2p = n. The equation 6p + 3n = 18 should be

6n + 3p = 18. The actual cost of the onions is $3.00 per pound. Potatoes cost $0.60 per pound. Potatoes cost $1.50 per pound. Potatoes cost $2.40 per pound.

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Answers (1)

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Liberty Bishop · Answer 1

6p + 3n = 18

2p = n

6p + 3 (2p) = 18

6p + 6p = 18

12p = 18

p = 18/12 = 1.50

2p = n

2 (1.50) = n

3 = n

true statements : The equation 2n = p should be 2p = n

The actual cost of onions is $ 3 per lb

Potatoes cost $ 1.50 per lb