Final answer:
Dylan has 15/2 boxes of raspberries, and each litre of smoothie needs 5/18 boxes. By dividing the total amount of raspberries by the amount needed per litre ((15/2) ÷ (5/18)), we find that Dylan can make 27/2 litres, or 13.5 litres, of smoothie.
Step-by-step explanation:
To determine how much smoothie Dylan can make with 15/2 boxes of raspberries, we need to divide the total number of raspberries by the amount required for each litre of smoothie.
Step 1: First, establish the total amount of raspberries available.
Total raspberries = 15/2 boxes
Step 2: Determine the amount required for one litre of smoothie.
Raspberries per litre = 5/18 boxes
Step 3: Calculate the number of litres Dylan can make by dividing the total amount of raspberries by the amount needed per litre.
Number of Litres = Total raspberries / Raspberries per litre
Step 4: Perform the division.
(15/2) ÷ (5/18) = (15 ÷ 5) / (2 ÷ 18) = 3 / (2 ÷ 18) = (3 ÷ 1) / (1 ÷ 9) = 3 ÷ 9 = 27/2 litres.
So, Dylan can make 27/2 litres, or 13.5 litres, of smoothie with the raspberries available.