Part A)
30 more than two-fifths of the customers chose bananas.
We now we have "n" customers, two-fifths of the customers are
[tex]\frac{2n}{5}[/tex]
If 30 more than two-fifths of the customers chose bananas, it would be
[tex]\text{bananas}=30+\frac{2n}{5}[/tex]
10 fewer than one-fifth of the customers chose apples:
one-fifth of the customers are
[tex]\frac{n}{5}[/tex]
Therefore we have:
[tex]\text{apples=}10-\frac{n}{5}[/tex]
And the last one, oranges:
5 more than one-fifth of the customers chose oranges
One-fifth of the customers:
[tex]\frac{n}{5}[/tex]
5 more than
[tex]\text{oranges}=5+\frac{n}{5}[/tex]
Part B
To find the expression that represents it we must sum the bananas expression with the oranges expression, and then simplify it
[tex]\begin{gathered} \text{oranges + bananas = }30+\frac{2n}{5}+5+\frac{n}{5} \\ \\ \text{oranges + bananas = }35+\frac{2n+n}{5} \\ \\ \text{oranges + bananas = }35+\frac{3n}{5} \end{gathered}[/tex]
The simplified expression is
[tex]\text{oranges + bananas = }35+\frac{3n}{5}[/tex]
