Julian bought bottles of apple syrup, chikoo syrup and mango syrup of 250 mℓ, 400 mℓ and 150 mℓ respectively. He counted to pour them into smaller cups of equal amount with no leftover.

1. What was the largest possible amount of syrup in each cup?
2. How many cups of syrup of apple syrup, chikoo syrup and mango syrup would he have respectively? Give your answers in numbers (Eg 1, 2, 3)

(a)
Factors of 250: 1, 2, 5, 10, 25, 50, 125, 250
Factors of 400: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Factors of 150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Highest common factor of 250 mℓ, 400 mℓ and 150 mℓ = 50 mℓ

So, 50 mℓ is the largest possible amount of syrup in each cup.

(b)
Number of cups of apple syrup
= 250 ÷ 50
= 5

Number of cups of chikoo syrup
= 400 ÷ 50
= 8

Number of cups of mango syrup
= 150 ÷ 50
= 3

Julian would have 5 cups of apple syrup, 8 cups of chikoo syrup, 3 cups of mango syrup

Answer(s): (a) 50 mℓ; (b) 5, 8, 3