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and expenditure = Tshs 1,078,000                     =  21 13−
               Hence, income : expenditure                             8.=


                              = 1274000                Therefore, the ratio of males to all
                         1078000                       club members is 8: 21.
                          13                                                                     Tanzania Institute of Education
                        =                              Example 4.6
                               11

                              = 13:11                  Express the ratio  200 cm:1m  in

               Therefore, the ratio of income to       its lowest form.
               expenditure is 13:11.                   Solution

               To find savings to income ratio,        Using comparison of metric units,
               start to calculate savings as follows:  it is known that 1 m :100 cm. Since
               = Tsh (1274000 1078000)−                the units must be the same, then it
               = Tsh 196,000                           follows that,
                                       196000
               Thus, savings: income  = 1274000         200cm:1m = 200 cm:100cm
                                                                            =  2:1.

                                       2:13=           Therefore, the ratio  200 cm:1m
               Therefore, the ratio of savings to      in its lowest form is 2:1.
               income is 2:13.

                                                       Example 4.7

               Example 4.5
                                                       A special cereal mixture contains
               A Mathematics club has 21               rice, wheat, and corn in the ratio
               members of which 13 are females         2:3:5, respectively. If a bag of

               and the rest are males. Find the        the mixture contains 3 kilograms
               ratio of males to all club members.     of rice, how much corn does it
                                                       contain?
               Solution
               Given, total number of club             Solution
               members   21,                           Let x be the amount of corn in
                        =
               number of females = 13                  kilograms that a special cereal
               Thus, number of males                   mixture contains.                           Mathematics Form One
               = total number of club members          The ratio of rice to corn is given
               − number of females                     by 2:5 = 3 kg: x kg





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                                                                                        25/10/2024   09:51:18
   Mathematics form 1.indd   63                                                         25/10/2024   09:51:18
   Mathematics form 1.indd   63
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