Page 95 - Mathematics
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The son’s age after 4 years will be    Activity 5.3:   Algebra in cooking
              (x + 4) years.
              The father’s age after 4 years will be   Cooking rice dish requires an optimum
              (x + 32 + 4) years  (x=  + 36) years.  ratio between the amount of rice to be

               After 4 years, the father’s age will   cooked and amount of water to be used.
              be twice the age of his son. That is,  On average, 2 cups of water are enough      Tanzania Institute of Education
                x +  36 =  2(x +  4)                 to cook 1 same cup of rice.
                x +  36 =  2x +  8                   1.   Determine an algebraic equation
                2 –xx = 36 – 8                           which relates the amount of rice
                       x =  28                           and water to be used.
              The father’s present age  =  x + 32     2.   If you are to decide on the amount
                                                    =  28 32+  of rice to be cooked in a ceremony
                                                   = 60  with 300 participants, determine
              Therefore, the son’s present age is        the average amount of rice needed
              28 years and the father’s present age      assuming that on average, 1 kg of
              is 60 years.                               rice can be served to 4 people.
                                                     3.   Use the algebraic equation in task 1
                                                         to determine the average amount of
           Engage in Activity 5.3 to use algebra         water needed to cook the amount of
           in cooking as among the daily-life            rice you have determined in task 2.
           activities.




               Exercise 5.4

               1.     John is 6 years older than Amina. If the sum of their ages is 30 years, find
                    Amina’s age.


               2.     Asha’s age is five times the age of Martin. If the sum of their ages is 36
                    years, find Martin’s age.
               3.   If the sum of two consecutive numbers is 37, find the numbers.

                                                                      3
               4.   When a certain number is added to 7, the result is 12 . Find the number.
                                       1                              4
               5.   If the product of  2  and y is 25, find the value of y.
                                       2                                                           Mathematics Form One
               6.   The difference between 48 and another number is 17. Find the number.






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                                                                                        25/10/2024   09:51:29
   Mathematics form 1.indd   89
   Mathematics form 1.indd   89                                                         25/10/2024   09:51:29
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