Answer:
150
Step-by-step explanation:
One serving need:
[tex]\frac{3}{2}[/tex] apples, [tex]\frac{1}{3}[/tex] banana, [tex]\frac{1}{5}[/tex] mango, 5 raspberries
without having any fruit left over means:
all the fruit needed are integer
so we should find how many serves will cause the fruit needed are integer.
[tex]\frac{3}{2}=\frac{3\times3\times5}{2\times3\times5}=\frac{45}{30}[/tex]
[tex]\frac{1}{3}=\frac{1\times2\times5}{3\times2\times5}=\frac{10}{30}[/tex]
[tex]\frac{1}{5}=\frac{1\times3\times2}{5\times3\times2}=\frac{6}{30}[/tex]
⇒ 30 serving need fruit 45 apple, 10 banana, 6 mango, and the raspberries need:
[tex]5\times30=150[/tex]
I hope this helps you
:)
