Question

40 in the ratio 2:3 £2000 in the ratio 3:7 36kg in the ratio 1:2:3

Answer 1

Answer:
a) 16: 24
b)  £600 : £1400
c)  6 : 12 : 18


40 in the ratio 2 : 3 

To split an amount based on ratio 2:3 , first, we need to find the total share.

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Find total shares
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2+3 = 5

Then we need to find the the amount of 1 share worth 

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Find 1 share
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5 shares = 40                ← divide by 5 on both sides
÷ 5             ÷ 5 
1 share = 8 

Now that we know one share is 8, we need to find the amount according to the shares allocation, which is 2 and 3 in this question.

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Find 2 shares
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1 share = 8                    ← multiply by 2 on both sides
x2           x2
2 shares = 16

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Find 3 shares
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1 share = 8
x3            x3
3 shares = 24

The ratio is 2 : 3. The 40 is therefore the amount split as 16:24

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Answer: 16: 24
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£2000 in the ratio 3: 7

To split the £2000 into the ratio 3:7, first, we need to find the total shares.

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Find total shares
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3 + 7 = 10

Then we find the 1 share worth
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Find 1 share
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10 shares = £2000              ← divide by 10 on both sides
÷10              ÷10
1 share = £200

Now that we know 1 share is worth £200, we need to find the shares according to the ratio allocation.

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Find 3 shares
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1 share = £200                    ← multiply 3 on both sides
x3             x3
3 shares = £600

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Find 7 shares
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1 share = £200                         ← multiply by 7 on both sides
x7            x7
7 shares = £1400

The ratio 3 : 7, the £2000 is spilt into £600 : £1400

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Answer: £600 : £1400
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36 kg into the ratio 1:2:3

To spilt the 36kg, first we find the total number of shares

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Find total shares
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1 + 2 + 3 = 6

36 kg is split into 6 shares. We need to find the allocation of 1 share.
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Find 1 share
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6 shares = 36              ← divide by 6 on both sides
÷6             ÷6
1share = 6kg

The allocation of 1 share is 6kg. Now find 2 shares and 3 shares

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Find 2 shares
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1 share = 6kg                 ← multiply by2 on both sides
x2            x2
2 shares = 12kg

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Find 3 shares
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1 share = 6 kg            ← multiply by 2 on both sides
x3            x3
3shares = 18kg

The ratio is 1:2:3. 36kg is spilt into 6: 12: 18

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Answer: 6 : 12 : 18
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