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Anna buys bananas, grapes, and apples. She buys twice the amount of bananas as grapes, and she buys 2 more pounds of apples than grapes. Altogether, Anna bought 14 pounds of fruit. How many pounds of each fruit did she buy?

Answer :

The amounts of each fruit that Anna bought is given as follows:

  • Bananas: 6 pounds.
  • Grapes: 3 pounds.
  • Apples: 5 pounds.

How to obtain the amounts?

The variables for the system of equations are given as follows:

  • Variable x: amount of bananas.
  • Variable y: amount of grapes.
  • Variable z: amount of apples.

She buys a total of 14 pounds, hence:

x + y + z = 14.

She buys twice the amount of bananas as grapes, hence:

x = 2y.

She buys 2 more pounds of apples than grapes, hence:

z = 2 + y.

Then the amount of grapes can be obtained as follows:

x + y + z = 14.

2y + y + 2 + y = 14

4y = 12

y = 3 pounds.

Then the remaining amounts are given as follows:

  • x = 2y = 6 pounds.
  • z = y + 2 = 5 pounds.

More can be learned about a system of equations at https://brainly.com/question/13729904

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