Question

Anna buys bananas, grapes, and apples. She buys 5 times as many bananas as grapes. She buys 2 more pounds of apples than bananas. Altogether, Anna buys 35 pounds of fruit. How many pounds of each fruit did she buy?

Answer 1

Anna Bought 3 pounds of grapes, 15 pounds of bananas and 17 pounds of apples.

Explanation:

Given:

Anna buys bananas, grapes, and apples.

She buys 5 times as many bananas as grapes.

Let Amount of grapes be 'x' pounds.

So According to question given;

Amount of bananas =
`5x \ pounds`

Also Given:

She buys 2 more pounds of apples than bananas.

It means that Amount of apples is 2 more than amount of bananas.

So Amount of apples = 2 + amount of bananas.

But Amount of bananas =
`5x \ pounds`

So Amount of apples =
`2+5x \ pounds`

Now Given:

Total Amount of fruit she bought = 34 pounds.

We need to find amount of each fruit did she buy.

Now Total Amount of fruit she bought is sum of Amount of grapes and Amount of bananas and Amount of apples.

framing in equation form we get;

`x+5x+5x+2 =35\\\\11x+2=35\\\\11x= 35-2\\\\11x=33\\\\x=(33)/(11)=3 \ pounds`

Amount of grapes = 3 pounds

Amount of bananas =
`5x =5*3 =15 \ pounds`

Amount of apples =
`5x+2 = 5* 3+2 =15+2 =17 \ pounds`

Hence Anna Bought 3 pounds of grapes, 15 pounds of bananas and 17 pounds of apples.