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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