Steve buys 2 lb of grapefruit and 3 lb of oranges for $7.20. Kennedy buys 4 lb of grapefruit and 2 lb of oranges for $8.80. Let

Question

2 years ago

7

Steve buys 2 lb of grapefruit and 3 lb of oranges for $7.20. Kennedy buys 4 lb of grapefruit and 2 lb of oranges for $8.80. Let

x represent the
price per pound for grapefruit, and let y represent the price per pound for oranges. Use the system of equations from Part A to find the price per
pound for oranges.
price: $
per pound

Mathematics

1 answer:

guajiro [1.7K] · Answer 1 · 2022-05-27T22:45:39+03:00

guajiro [1.7K]2 years ago

8 0

Answer:

1.40 $ per pound.

Step-by-step explanation:

As we go by the statement given:

$2x + 3y = 7.20 ..... (1) \\and\\4x + 2y = 8.80 ...... (2)\\\\Now, multiplying \ the\ equation \ (1)\ by\ 2\ and\ then\ subtracting\ the\ equation\ (2)\ from\ it.\\(1) \times 2\\ \Rightarrow 4x+ 6y=14.40\\Now, subtracting\ the\ equation\ number (2)\\ \Rightarrow4x + 6y - 4x -2y = 14.40 - 8.80\\\Rightarrow 4y = 5.60\\\Rightarrow y = 1.40$ Hence, price for oranges is $1.40$ dollars per pound.