Let the amount of grapes be g. The amount of grapes, bananas, and apples are represented as follows.
Grapes: g
Bananas: 2g
Apples: g + 2
The total amount is 14; that means the above expressions must be equal to 14. Set up an equation and solve algebraically for g.
14 = g + 2g + (g + 2)
14 = g + 2g + g + 2
14 = 4g + 2
12 = 4g
3 = g
Remember, g represents the amount of grapes; that means Anna bought 3 pounds of grapes. To find the amount of bananas and apples, substitute into the expressions 2g and g + 2.
2g => 2(3) => 6
g + 2 => 3 + 2 => 5
Answer:
Anna bought 3 pounds of grapes, 6 pounds of bananas, and 5 pounds of apples.