Question

Your family of four has a 6 GB data limit each month. You use twice as much data as your sister, half as much data as your father and only a quarter of the amount of data as your mother. To stay under the limit, how much data can each person in your family use this month?

Answer 1

Let your monthly data use be represented by X
Then:
- Your sister's use is 1/2X (half of your usage)
- Your father's use is 2X (twice as much as you)
- Your mother's use is 4X (four times as much as you)

The total amount of GB use in your family can therefore be represented by

`(1)/(2) x + x + 2x + 4x = 7 (1)/(2) x`
This total GB use equals the limit of 6GB per month, so

`7 (1)/(2)x = 6`
Divide by 7.5

`x = 0.8`

Hence, you use 0.8 GB per month
- Your sister's use is 1/2 * 0.8 = 0.4GB (half of your usage)
- Your father's use is 2 * 0.8 = 1.6GB (twice as much as you)
- Your mother's use is 4 * 0.8 = 3.2GB (four times as much as you)