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

Omar would have 24 apples and 6 bananas

Step-by-step explanation:

We know that Omar has 4 times as many apples as bananas., which means a is the number of apples and b is the number of bananas.

a=4b

We also know that Omar has 30 fruits in total:

a+b=30

So we have two equations here. We solve them by substituting for a in the second equation with a=4b from equation 1 as shown:

a=b=30

4b+b=30

5b=30

b=6

Omar has 6 bananas. Great!

Now we substitute for apples. We already know that Omar has 6 bananas now, so all we have to do is:

a=4(6)

a=24

Omar has 24 apples.

So Omar has 6 bananas, and 24 apples! Hope this helps! :)