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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