David bought bottles of chikoo syrup, passion fruit syrup and pomegranate syrup of 350 mℓ, 500 mℓ and 250 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 chikoo syrup, passion fruit syrup and pomegranate syrup would he have respectively? Give your answers in numbers (Eg 1, 2, 3)

(a)
Factors of 350: 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Factors of 500: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Factors of 250: 1, 2, 5, 10, 25, 50, 125, 250

Highest common factor of 350 mℓ, 500 mℓ and 250 mℓ = 50 mℓ

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

(b)
Number of cups of chikoo syrup
= 350 ÷ 50
= 7

Number of cups of passion fruit syrup
= 500 ÷ 50
= 10

Number of cups of pomegranate syrup
= 250 ÷ 50
= 5

David would have 7 cups of chikoo syrup, 10 cups of passion fruit syrup, 5 cups of pomegranate syrup

Answer(s): (a) 50 mℓ; (b) 7, 10, 5