MATH SOLVE

4 months ago

Q:
# 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?

Accepted Solution

A:

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.

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.