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

1 answer:

8 0

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.

-------------------------------------------------
Find total shares
-------------------------------------------------
2+3 = 5

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

-------------------------------------------------
Find 1 share
-------------------------------------------------
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.

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

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

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

-------------------------------------------------
Answer: 16: 24
-------------------------------------------------

£2000 in the ratio 3: 7

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

-------------------------------------------------
Find total shares
-------------------------------------------------
3 + 7 = 10

Then we find the 1 share worth
-------------------------------------------------
Find 1 share
-------------------------------------------------
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.

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

-------------------------------------------------
Find 7 shares
-------------------------------------------------
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

-------------------------------------------------
Answer: £600 : £1400
------------------------------------------------

36 kg into the ratio 1:2:3

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

------------------------------------------------
Find total shares
------------------------------------------------
1 + 2 + 3 = 6

36 kg is split into 6 shares. We need to find the allocation of 1 share.
------------------------------------------------
Find 1 share
------------------------------------------------
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

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

------------------------------------------------
Find 3 shares
------------------------------------------------
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

------------------------------------------------
Answer: 6 : 12 : 18
------------------------------------------------

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