Mathematics, 27.07.2019 13:00 jchavez5601

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

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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

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

£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

6 : 12 : 18

Answer from: Quest

step-by-step explanation:

a. since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since 2010 0 1 2 3 4 5

profits made in 1000's 39 84 111 120 111 84

we find that profit gradually increases form 2010 to 2013 upto 120, then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a. since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

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

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