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primary 6 | Maths | Ratio

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Nanyang SA1

Date Posted: 4 months ago
Views: 44
J
4 months ago
Total number of sweets remains unchanged.

Ruby and Steve : Max = 2 : 3
Total = 2 units + 3 units = 5 units

Since each child had the same number of sweets in the end, the number of units they get should be the same.

But 5 units cannot be divided by 3. We should multiply by 3 to make it divisible by 3.

5 units x 3 = 15 units
Each child has 5 units in the end.

Since we multiplied the 5 units by 3, the above ratio also has to be multiplied by 3.

So at first, Ruby and Steve : Max = 2 : 3
= 6 : 9

As each child has 5 units in the end, Ruby and Steve now have 10 units combined.

Now, Ruby and Steve : Max = 10 : 5

So that's a increase of 4 units from the total Ruby and Steve had at first.

Total that Max gave to the two of them
= 9 sweets + 23 sweets = 32 sweets

32 sweets = 4 units
1 unit = 32 sweets ÷ 4 = 8 sweets

Sweets Ruby had in the end = 5 units
= 5 x 8 sweets
= 40 sweets

Sweets Steve had at first
= 5 units - 23 sweets that Max gave him
= 40 sweets - 23 sweets
= 17 sweets
4 months ago
Thanks 