For this problem, I need help creating a chart for this: Brian O'Reily earns twice as much each week as a tutor than he does pumping gas. His total weekly wages are $150 more than that of his younger sister. She earns one quarter as much as Brian does as a tutor. How much does Brian earn as a tutor?
X = Brian's earning from pumping gas
2x - Brian's earning from tutoring
Would the chart be like this? This is where I need help. Where does the $150 come in?
Gas Tutoring Wages
Brian x 2x x+2x
Sister 2x/4 = x/2
To create the chart, you need to consider the given information and break it down into different categories. Here is how you can organize the chart:
| | Gas | Tutoring | Total Wages |
|--------------------|------|----------|-------------|
| Brian | x | 2x | x + 2x |
| Sister | N/A | x/4 | N/A |
Now let's explain how we arrived at the values in the chart:
1. We let x represent Brian's earnings from pumping gas.
2. As given, Brian earns twice as much each week as a tutor than he does pumping gas. So, Brian's earnings from tutoring would be 2x.
3. The total weekly wages for Brian are $150 more than that of his younger sister. So, we need to add $150 to Brian's total wages. Thus, Brian's total wages would be x + 2x.
4. The younger sister earns one quarter as much as Brian does as a tutor, which means she earns x/4.
Therefore, the chart represents Brian's earnings from both pumping gas and tutoring, as well as his sister's earnings.
To create a chart for this problem, we can start by assigning variables to each of the unknown quantities.
Let's say:
- X = Brian's earnings from pumping gas (in dollars per week)
- 2X = Brian's earnings from tutoring (in dollars per week)
- Y = Brian's total weekly wages (in dollars)
- Y/4 = Brian's younger sister's earnings (as a fraction of what Brian earns as a tutor)
Now, let's fill in the chart:
Gas Tutoring Wages
Brian X 2X Y
Sister Y/4
Based on the given information, we know that Brian earns twice as much each week as a tutor than he does pumping gas. So, we can fill that in:
Gas Tutoring Wages
Brian X 2X Y
Sister Y/4
Next, we are told that Brian's total weekly wages (Y) are $150 more than that of his younger sister. This implies that Y = (Y/4) + $150.
To solve this equation, we can multiply everything by 4 to eliminate the fraction:
4Y = Y + $600
Now, we can solve for Y:
3Y = $600
Y = $200
So now, we can update the chart with Brian's total weekly wages:
Gas Tutoring Wages
Brian X 2X $200
Sister $50
Lastly, we are told that Brian's sister earns one quarter as much as Brian does as a tutor. Since Brian earns 2X as a tutor, we can replace the sister's earnings in the chart with $50:
Gas Tutoring Wages
Brian X 2X $200
Sister $50
Now, we can see that Brian's earnings from tutoring (2X) are $200, which means X must be $100.
Therefore, Brian earns $100 as a tutor.
Look how I answered this a while back
http://www.jiskha.com/display.cgi?id=1250732594