Question

Anna buys bananas,grapes,and apples. She buys twice the amount of bananas as grapes. 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 1

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.