Cody bought bottles of pomegranate syrup, chikoo syrup and mangosteen syrup of 250 mℓ, 400 mℓ and 300 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 pomegranate syrup, chikoo syrup and mangosteen 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 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Highest common factor of 250 mℓ, 400 mℓ and 300 mℓ = 50 mℓ

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

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

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

Number of cups of mangosteen syrup
= 300 ÷ 50
= 6

Cody would have 5 cups of pomegranate syrup, 8 cups of chikoo syrup, 6 cups of mangosteen syrup

Answer(s): (a) 50 mℓ; (b) 5, 8, 6