Caden bought bottles of mango syrup, pear syrup and mangosteen syrup of 450 mℓ, 250 mℓ and 300 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 mango syrup, pear syrup and mangosteen syrup would he have respectively? Give your answers in numbers (Eg 1, 2, 3)
(a)
Factors of 450: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Factors of 250: 1, 2, 5, 10, 25, 50, 125, 250
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 450 mℓ, 250 mℓ and 300 mℓ = 50 mℓ
So, 50 mℓ is the largest possible amount of syrup in each cup.
(b)
Number of cups of mango syrup
= 450 ÷ 50
= 9
Number of cups of pear syrup
= 250 ÷ 50
= 5
Number of cups of mangosteen syrup
= 300 ÷ 50
= 6
Caden would have 9 cups of mango syrup, 5 cups of pear syrup, 6 cups of mangosteen syrup
Answer(s): (a) 50 mℓ; (b) 9, 5, 6