Solve these three questions on ratios. 1) the combined mass of two boxers, connor and patrick is 153kg. these weights are in the ratio 8: 9. work out how much heavier patrick is than connor. (3 marks) 2) tim and savannah share some sweets in the ratio of 1: 2. savannah gets 50 sweets. how many does tim get? (2 marks) 3) holly, wei-kong and wilfred all get paid the same hourly rate. in one week holly works twice as long as wei-kong and wei-kong works for three times as many hours as wilfred. their total wages that week is £850. work out how much hollie receives. (2 marks)

Question 1:

Connor : Patrick = 8 : 9
Total Parts = 8 + 9 = 17 
17 parts = 153 kg

Find 1 parts:
1 part = 153 ÷ 17 = 9kg

Find 8 parts:
8 parts = 8 x 9 = 72kg

Find 9 parts:
9 parts = 9 x 9 = 81 kg

Connor : Patrick = 8 : 9 = 72kg : 81 kg

81 - 72 = 9kg

Partick is 9 kg heavier than Connor.

Question 2:

Tim and Savannah  = 1 : 2
2 parts = 50 sweets

Find 1 part :
1 part = 50 ÷ 2 = 25

Tim gets 25 sweets

Question 3:

Holly : Wei Kong : Wilfred
     6  :         3       :     1

Total Parts = 6 + 3 + 1 = 10
10 parts = ⇒£850

Find 1 part :
1 part = £850 ÷ 10 = £85

Find 6 parts :
6 parts = £85 x 6 = £510

Hollie receives  £510