SOLUTION: 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 gi

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Question 1206343: 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?
Found 3 solutions by math_tutor2020, MathTherapy, greenestamps:
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

x = some positive real number
12x = amount Dorcas gets
15x = amount her brother gets

12x+15x = 450
27x = 450
x = 450/27
x = (9*50)/(9*3)
x = 50/3

Dorcas = 12x = 12*(50/3) = R200
Brother = 15x = 15*(50/3) = R250

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!
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%281%2C3%2C+12%2F3%2C+%22%3A%22%2C+15%2F3%29 = 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%281%2C5%2C+x%2C+%22=%22%2C+450%2F27%2C+%22=%22%2C+50%2F3%29
      Amount Dorcas receives:   

Amount her brother receives:

Answer by greenestamps(13215) About Me  (Show Source):
You can put this solution on YOUR website!


Tutor @MathTherapy did not read the problem correctly; as a result, he mocked the correct answer from the other tutor....

The two ages are 12 and 12+3=15; the ratio is 12:15 = 4:5. R450.00 divided in the ratio 4:5 gives R200.00 to one of them and R250.00 to the other.