Answer:
24 apples and 6 bananas.
Step-by-step explanation:
Omar has 4 times as many apples as bananas; this means if [tex]a[/tex] is the number of apples, and [tex]b[/tex] is the number of bananas
1. [tex]a=4b[/tex]
The total pieces of fruit is 30; this means
2. [tex]a+b=30[/tex]
Thus we have two equations, and we solve them by substituting for [tex]a[/tex] in equation (2) with [tex]a=4b[/tex] from equation (1):
[tex]a+b=30[/tex]
[tex]4b+b=30[/tex]
[tex]5b=30[/tex]
[tex]\boxed{ b=6}[/tex]
Omar has 6 bananas.
Now we substitute this [tex]b=6[/tex] into equation(1) and get:
[tex]a=4(6)[/tex]
[tex]\boxed{ a=24}[/tex]
Omar has 24 apples.
