Mindy, Daisy, Araceli and Leigh worked together on a job. The job paid $220. Each person was paid according to the amount of work they contributed to the job. Daisy and Araceli earned $280 together. Daisy and Mindy have $260, and Daisy and Leigh got $220. What percent of the job did each person do?
If a seemingly simple problem gets no answers, it is probably because the question is ill-posed or ambiguous.
Please reread your question and make sure it is correctly transcribed. This one makes no sense to me as written.
If the job paid $220, and Daisy and Leigh got the whole $220, that leaves nothing for the others, yet you say they earned a bunch of bucks, exceeding the $220 available. Something is amiss.
dude the question is clear i already got it answered so i do not get what you are saying
To find the percentage of the job each person did, we need to determine the relative amount of work each person contributed.
Let's assign variables to represent the amount of work each person did:
- Let "m" represent the work done by Mindy.
- Let "d" represent the work done by Daisy.
- Let "a" represent the work done by Araceli.
- Let "l" represent the work done by Leigh.
We know that the total amount of work done in the job is given as $220.
From the given information, we can write the following equations:
1) d + a = 280 (Daisy and Araceli earned $280 together)
2) d + m = 260 (Daisy and Mindy earned $260 together)
3) d + l = 220 (Daisy and Leigh earned $220 together)
We can solve this system of equations to find the values of d, a, m, and l.
First, subtracting equation 1) from equation 2) gives us:
(d + m) - (d + a) = 260 - 280
d + m - d - a = -20
m - a = -20 (Equation 4)
Similarly, we subtract equation 1) from equation 3):
(d + l) - (d + a) = 220 - 280
d + l - d - a = -60
l - a = -60 (Equation 5)
Now we have two equations (Equation 4 and Equation 5) with two unknowns (m and l). We can solve this system of equations.
Subtracting Equation 5) from Equation 4), we get:
(m - a) - (l - a) = -20 - (-60)
m - a - l + a = -20 + 60
m - l = 40
So, we have the equation m - l = 40 (Equation 6)
If we add Equation 4) and Equation 5), we get:
(m - a) + (l - a) = -20 + (-60)
m - a + l - a = -20 -60
m + l - 2a = -80
Adding 2a to both sides, we have:
m + l - 2a + 2a = -80 + 2a
m + l = -80 + 2a (Equation 7)
We know that m + l = 40 from Equation 6. So, substituting this into Equation 7, we have:
40 = -80 + 2a
Adding 80 to both sides, we get:
120 = 2a
Dividing both sides by 2, we find:
a = 60
Now we can substitute the value of a into Equation 4) to find m:
m - 60 = 40
Adding 60 to both sides, we have:
m = 100
Finally, to find l, we substitute the values of a and m into Equation 6):
100 - l = 40
Subtracting 100 from both sides, we find:
l = 60
So, we have found the values of m, d, a, and l:
m = 100
d = ?
a = 60
l = 60
To find the work done by Daisy (d), we can use Equation 1):
d + a = 280
Substituting the value of a = 60, we get:
d + 60 = 280
Subtracting 60 from both sides, we find:
d = 220
Now we have the values of all the variables:
m = 100
d = 220
a = 60
l = 60
To find the percentage of the job each person did, we can divide the work done by each person by the total work done in the job (220):
- Mindy: (m / 220) * 100 = (100 / 220) * 100 = 45.45% (approximately)
- Daisy: (d / 220) * 100 = (220 / 220) * 100 = 100%
- Araceli: (a / 220) * 100 = (60 / 220) * 100 = 27.27% (approximately)
- Leigh: (l / 220) * 100 = (60 / 220) * 100 = 27.27% (approximately)
Therefore, Mindy did approximately 45.45% of the job, Daisy did 100% of the job, Araceli did approximately 27.27% of the job, and Leigh did approximately 27.27% of the job.