The ratio of the volume of fruit juice to the volume of smoothie at a party was 4.5 : 2.4. There were 35 liters more fruit juice served than smoothies. Find the Volume of smoothies served

X=volume in liters of frut juice.

y=volume in liters of smoothies.

We can suggest the following system of equations:

x=y+35

x/y=4.5/2.4

We can solve this system by substituion method.

(y+35) / y=4.5/2.4

2.4 (y+35) = 4.5y

2.4y+84=4.5y

4.5y-2.4y=84

2.1y=84

y=84/2.1

y=40

x=y+35

x=40+35

x=75

Answer: The volume of smoothies served was 40 liters.