Question

Omar has four times as many apples as bananas he has 30 pieces of fruit in all of a represents the number of apples and b represents the number of bananas, how many of each fruit does Omar have ?

Answer 1

D. 24 A. 6 B.

Explanation:

Answer 2

24 apples and 6 bananas.

Explanation:

Omar has 4 times as many apples as bananas; this means if
`a` is the number of apples, and
`b` is the number of bananas

1.
`a=4b`

The total pieces of fruit is 30; this means

2.
`a+b=30`

Thus we have two equations, and we solve them by substituting for
`a` in equation (2) with
`a=4b` from equation (1):

`a+b=30`

`4b+b=30`

`5b=30`

`\boxed{ b=6}`

Omar has 6 bananas.

Now we substitute this
`b=6` into equation(1) and get:

`a=4(6)`

`\boxed{ a=24}`

Omar has 24 apples.