Primary 6 · Ratio · Question type 1.3

P6 Ratio: Sharing in a Ratio

Share a quantity in a given ratio by finding one unit first.

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Primary 6, on the MOE Primary Mathematics syllabus.

In the Ratio chapter10 question types · see the chapter

The lesson · 2 minutes 12 seconds

How do you share a quantity in a ratio in P6?

Watch: sharing 45 beads in the ratio 2 : 3

Another worked example

The question, and how the bars are drawn.

Priya and Samuel share 45 beads in the ratio 2 : 3. How many beads does Samuel get?

The working · Five lines

The step-by-step working

Written out in full, the way it should appear on paper.

Total number of units = 2 + 3 = 5
5 units = 45
1 unit = 45 ÷ 5 = 9
3 units = 3 × 9 = 27 beads
2 units = 2 × 9 = 18 beads

Samuel gets 27 beads.

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Share the remaining buns

Find what remains before sharing it in the given ratio.

A bakery made 180 buns in the morning and sold 1/3 of them before noon. The buns that were left were shared between Tray A and Tray B in the ratio 2 : 3. How many buns were on Tray B?

Show the step-by-step solution

buns sold = 1/3 × 180 = 60
buns left = 180 - 60 = 120
the ratio shares the buns that are left, so the 120 fills every unit
2 + 3 = 5 units
5 units = 120
1 unit = 120 ÷ 5 = 24
3 units = 3 × 24 = 72 buns

Ans: 72

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