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