We can see here that Scott needs to buy 5 boxes of oranges to make 8 litres of orange juice, considering each box contains 24 oranges.
To determine the number of boxes of oranges Scott needs to buy, we can calculate the total number of oranges required to make 8 liters of orange juice.
Given that 30 oranges make 2 liters of orange juice, we can set up a proportion:
30 oranges / 2 liters = x oranges / 8 liters
To solve the proportion, we can cross-multiply:
30 oranges × 8 liters = 2 liters × x oranges
Simplifying further:
240 oranges = 2x oranges
Dividing both sides of the equation by 2:
240 oranges / 2 = 2x oranges / 2
120 oranges = x oranges
Therefore, Scott needs to buy 120 oranges to make 8 liters of orange juice.
Since each box contains 24 oranges, we can calculate the number of boxes Scott needs to buy:
Number of boxes = Total number of oranges / Oranges per box
Number of boxes = 120 oranges / 24 oranges per box
Number of boxes = 5 boxes
Therefore, Scott needs to buy 5 boxes of oranges to make 8 liters of orange juice.
The complete question is:
Scott wants to make orange juice. He is going to buy boxes of oranges. There are 24 oranges in each box of oranges. 30 oranges make 2 litres of orange juice. Scott needs to buy enough oranges to make 8 litres of orange juice. Work out the number of boxes of oranges that Scott needs to buy. You must show all your working.