Question 1206343
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Please help with the homework.
1. Dorcas is 12 years old and her brother is 3 years older. Their Father gives them pocket money in the ratio of their ages. If he had R450.00 to give them, what will each one get?

Just saw that her brother is 3 years older, not 3 years old.

Dorcas' age: 12
Brother's age: 12 + 3 = 15 

Ratio of Dorcas' age to her brother's age: 12:15 = {{{matrix(1,3, 12/3, ":", 15/3)}}} = 4:5

With MULTIPLICATIVE factor being x, Dorcas and her brother will get 12x and 15x, respectively
                  Total amount: 12x + 15x = 27x
                         We then get: 27x = 450
             Multiplicative factor, or {{{matrix(1,5, x, "=", 450/27, "=", 50/3)}}}
      <font size  = 4><font color = red><b>Amount Dorcas receives:</font></font></b> {{{highlight_green(matrix(1,8, 12x, ",", or, 12(50/3), "=", 4(50), "=", highlight("R200")))}}}  

<font size  = 4><font color = red><b>Amount her brother receives:</font></font></b> {{{highlight_green(matrix(1,8, 15x, ",", or, 15(50/3), or, "R450 - R200", "=", highlight("R250")))}}} </font></b></pre>