Tom bought bottles of mangosteen syrup, mango syrup and kiwi syrup of 400 mℓ, 500 mℓ and 350 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 mangosteen syrup, mango syrup and kiwi syrup would he have respectively? Give your answers in numbers (Eg 1, 2, 3)
(a)
Factors of 400: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Factors of 500: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Factors of 350: 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Highest common factor of 400 mℓ, 500 mℓ and 350 mℓ = 50 mℓ
So, 50 mℓ is the largest possible amount of syrup in each cup.
(b)
Number of cups of mangosteen syrup
= 400 ÷ 50
= 8
Number of cups of mango syrup
= 500 ÷ 50
= 10
Number of cups of kiwi syrup
= 350 ÷ 50
= 7
Tom would have 8 cups of mangosteen syrup, 10 cups of mango syrup, 7 cups of kiwi syrup
Answer(s): (a) 50 mℓ; (b) 8, 10, 7