Mother spent 1/3 of her money on a silver chain and 1/6 of the remainder on a bottle of perfume. She gave her daughter $60 and had $155 left.

1. What fraction of money did mother spend on the bottle of perfume?
2. How much money did Mother spend on the silver chain?

Respuesta :

Answer:

Step-by-step explanation:

Let the total money with her be 'x'.

Money spent to buy silver chain = (1/3)x

Remaining money = x - (1/3)x

                               [tex]= \frac{3}{3}x-\frac{1}{3}x = \frac{2}{3}x[/tex]

Money spent on buying perfume = [tex]\frac{1}{6}*\frac{2}{3}x=\frac{1}{3}*\frac{1}{3}x=\frac{1}{9}x[/tex]

[tex]x - \frac{1}{3}x - \frac{1}{9}x = 60 +155\\\\\frac{9}{9}x-\frac{1*3}{3*3}x-\frac{1}{9}x = 215\\\\\frac{9-3-1}{9}x = 215\\\\\frac{5}{9}x=215\\\\x = 215*\frac{9}{5}\\\\x = 43 * 9\\\\x = 387[/tex]

Total money = $ 387

1) Money spent on perfume = [tex]\frac{1}{9}*387 = 43[/tex]

                                              =$ 43

2) Money spent on silver chain = [tex]\frac{1}{3}*387= 129[/tex]

                                                    = $ 129