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primary 5 | Maths
| Fractions
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Date Posted: 3 years ago
Views: 724
After :
Tarts → ⬛⬛⬛ (3 units)
Buns → ⬛ (1 unit)
Before :
Tarts → ⬛⬛⬛ + 15
Buns → ⬛ + 90
Now for the 'Before' case, there were twice as many Buns as Tarts.
So twice the number of tarts
= 2 × (⬛⬛⬛ + 15)
= ⬛⬛⬛⬛⬛⬛ + 30
This means that :
⬛⬛⬛⬛⬛⬛ + 30 = ⬛ + 90
Comparing the two,
90 - 30 = 60
⬛⬛⬛⬛⬛⬛ - ⬛ = ⬛⬛⬛⬛⬛
So ⬛⬛⬛⬛⬛ = 60
⬛ = 60 ÷ 5 = 12
Tarts baked at first
= ⬛⬛⬛ + 15
= 12 × 3 + 15
= 36 + 15
= 51
Tarts → ⬛⬛⬛ (3 units)
Buns → ⬛ (1 unit)
Before :
Tarts → ⬛⬛⬛ + 15
Buns → ⬛ + 90
Now for the 'Before' case, there were twice as many Buns as Tarts.
So twice the number of tarts
= 2 × (⬛⬛⬛ + 15)
= ⬛⬛⬛⬛⬛⬛ + 30
This means that :
⬛⬛⬛⬛⬛⬛ + 30 = ⬛ + 90
Comparing the two,
90 - 30 = 60
⬛⬛⬛⬛⬛⬛ - ⬛ = ⬛⬛⬛⬛⬛
So ⬛⬛⬛⬛⬛ = 60
⬛ = 60 ÷ 5 = 12
Tarts baked at first
= ⬛⬛⬛ + 15
= 12 × 3 + 15
= 36 + 15
= 51
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