Sean bought bottles of persimmon syrup, chikoo syrup and pomegranate syrup of 250 mℓ, 500 mℓ and 450 mℓ respectively. He counted to pour them into smaller cups of equal amount with no leftover.
- What was the largest possible amount of syrup in each cup?
- How many cups of syrup of persimmon syrup, chikoo syrup and pomegranate 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 500: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Factors of 450: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Highest common factor of 250 mℓ, 500 mℓ and 450 mℓ = 50 mℓ
So, 50 mℓ is the largest possible amount of syrup in each cup.
(b)
Number of cups of persimmon syrup
= 250 ÷ 50
= 5
Number of cups of chikoo syrup
= 500 ÷ 50
= 10
Number of cups of pomegranate syrup
= 450 ÷ 50
= 9
Sean would have 5 cups of persimmon syrup, 10 cups of chikoo syrup, 9 cups of pomegranate syrup
Answer(s): (a) 50 mℓ; (b) 5, 10, 9