Question 10 - Ratio

• The ratio of Ahmad's age to Suri's age is 5 : 3 now. 4 years ago, the ratio was 7 : 4. How old is Ahmad now?

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Question - 10 Answer

                             Ahmad             :           Suri                       Different of age
Now                        5                   :              3          =   2     
                                   x3=15                         x3=9          x3       = 6


4 Years ago            7                    :              4          =  3      
                                  x2=14                         x2=8         x2        = 6
                             _______________________________________________
                                        1 unit                                  1 unit      = 4 years
                             _______________________________________________
15 x 4 = 60

Ahmad now is 60 years old.

Question 6 - Ratio

• At a sport stadium, the ratio of the number of females to the number of males was 5:7. The ratio of the number of girls to the number of women was 2:3. The ratio of the number of boys to the number of men was 4:5.

• (a) What fractio of the people in the sports stadium were girls and boys?
• (b) If there were 1512 more men than women, how many people were at the stadium ?

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Question 6 - Answer

Females : 5 x 9 = 45     Girls : 2 x 9 = 18     Women : 3 x 9 = 27

Girls + Women = Females = 18 + 27 = 45

Males : 7 x 9 = 63        Boys : 4 x7 = 28      Men : 5 x 7 = 35

Boys + Men = Males = 28 + 35 = 63

(a) Girls + Boys = 18 + 28 = 46      Total number : 45 + 63 = 108

46/108 = 23/54



(b) Men – Women = 35 -27 = 8 Units

8 Units = 1512        1 Unit = 189       Total Units = 45 + 63 = 108

108 x 189 = 20412

There were 20,412 people at the stadium.

Question 4 - Ratio

• Every month when John received his salary, he would give his father some money and spent the remaining amount of salary. The ratio of the amount of money John gave to his father to the amount spent on himself was 7 : 4. John spent his money on food and transport in the ratio 5 : 3 respectively. If he spent $580 more on food than on transport, what was the ratio of the amount of money spent on food to his salary?

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Question 4 - Answer

Step 1 :            Food : Transport = 5 : 3


                        5 – 3 = 2 Units ( more food than transport)

                        2 Units =580 1 Unit = 290

Step 2 :            290 x 5 = 1450 (Food) 290 x 3 = 870 (Transport)

                       1450 + 870 = 2320 ( John spent)

Step 3 :           Give : Spent = 7 : 4

                       4 Units = 2320 1 Unit = 580

Step 4 :           Total Salary = 7 + 4 = 11 Units

                      11 x 580 = 6380

Step 5 :          Food : Salary = 1450 : 6380 = 5 : 22

The ratio of the amount of money spent on food to his salary was 5 : 22.