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marta [7]
3 years ago
15

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 fathe

r 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?
Mathematics
1 answer:
Svetllana [295]3 years ago
7 0
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
\frac{1}{2} x + x + 2x + 4x = 7 \frac{1}{2} x
This total GB use equals the limit of 6GB per month, so
7 \frac{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)
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