Question

jessica used 2/3 of her money to but books and 1/6 of her money to buy notebooks. she then had 30$ left in her pocket.How much money did Jessica have i her pocket before shopping?

Answer 1

let total Money =X

So:-

1. Money spent on books = ⅙X
2. money spent on notebooks = ⅔X

A.T.Q:-

$x - \frac{2}{3} x - \frac{1}{6} x = 30 \\ \frac{6x - 4x - 1x}{6} = 30 \\ \frac{6x - 5x}{6} = 30 \\ x = 30 \times 6 \\ x = \cancel{s}180$

Total money = X = $ 180

Answer 2

Answer:

2/3x + 1/6x = 30

x represents her money, because it is unknown

and 30 represents the leftover money she was left, so we solve for x.

x - (2/3x + 1/6x) = 30

Combine multiplied terms into a single fraction.

Find a common denominator;

x - 4/6x - 1/6x = 30

Combine fractions with common denominator.

Multiply all terms by the same value to eliminate fraction denominators;

6x - 4x - 1x / 6 = 30

Cancel multiplied terms that are in the denominator.

x/6 = 30

Multiply them.

*6     *6

To get,

x = 180