Cody bought bottles of mango syrup, pomegranate syrup and chikoo syrup of 150 mℓ, 250 mℓ and 500 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 mango syrup, pomegranate syrup and chikoo syrup would he have respectively? Give your answers in numbers (Eg 1, 2, 3)

(a)
Factors of 150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
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

Highest common factor of 150 mℓ, 250 mℓ and 500 mℓ = 50 mℓ

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

(b)
Number of cups of mango syrup
= 150 ÷ 50
= 3

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

Number of cups of chikoo syrup
= 500 ÷ 50
= 10

Cody would have 3 cups of mango syrup, 5 cups of pomegranate syrup, 10 cups of chikoo syrup

Answer(s): (a) 50 mℓ; (b) 3, 5, 10