Respuesta :
The amount each of Andrew, Brendan, and Clair gets is given by
representation as fractions.
Response:
- Andrew gets R2,000, Brendan gets R1,500, and Clair gets R1,125
Which method can be used to find the amount each person gets?
Given:
The amount to be divided = R4 625
Every R4 Andrew gets, Brendan gets R3
Every R4 Brendan gets Clair gets R3
The amount each person gets from the R4625 to divided is found as
follows;
Let x represent the amount Andrew gets, we have;
Amount Brendan gets = [tex]\frac{3}{4}[/tex]·x
Amount Clair gets = [tex]\frac{3}{4}[/tex]·[tex]\frac{3}{4}[/tex]·x = [tex]\mathbf{\frac{9}{16}}[/tex]·x
Which gives;
[tex]4625 = x + \dfrac{3}{4} \cdot x + \dfrac{9}{16} \cdot x= \mathbf{ \dfrac{37 \cdot x}{16}}[/tex]
Therefore;
[tex]x = \mathbf{4625 \times \dfrac{16}{37}} = 2000[/tex]
x = 2000
- The amount Andrew gets, x = R2,000
- Amount Brendan gets = [tex]\frac{3}{4}[/tex]·x = [tex]\frac{3}{4}[/tex] × R2000 = R1,500
- The amount Clair gets = [tex]\frac{9}{16}[/tex]·x = [tex]\frac{9}{16}[/tex] × R2000 = R1,125
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