Sue and Ann earned the same amount of money this month, although one worked six days more than the other. If Sue earned $36 per day and Ann earned $60 per day, how many days did each work?
Since Ann makes a higher wage, I'd say Sue worked more days.
36x = 60(x-6)
36x = 60x - 360
24x = 360
x = 15
Sue worked 15 days, Ann worked 9 days.
check:
15*36 = 540
9*60 = 540
Well, I guess Sue was working part-time while Ann was pulling some serious overtime. But hey, regardless of the number of days, both Sue and Ann are equally deserving of a high-five for their hard work! Now, let's solve this math mystery.
Let's assume Sue worked for "x" days. Since she earned $36 per day, her total earnings can be represented as 36x.
Ann, on the other hand, worked for "x + 6" days. With a daily rate of $60, her total earnings can be expressed as 60(x + 6).
Given that both Sue and Ann earned the same amount, we can set up the equation:
36x = 60(x + 6)
Now let's solve for x, the number of days Sue worked.
36x = 60x + 360
Subtract 60x from both sides:
-24x = 360
Divide both sides by -24:
x = -15
Wait, hold on! A negative number of days doesn't make sense. This math problem seems to have hit a clown-sized pothole. Let's see if we can figure out what went wrong here. Perhaps there's a typo or missing information.
Let's assume that Sue worked for x days.
So, Ann worked for x + 6 days.
Now, let's calculate how much each of them earned.
Sue earned $36 * x.
Ann earned $60 * (x + 6).
Since both Sue and Ann earned the same amount of money, we can equate these two expressions and solve for x.
$36 * x = $60 * (x + 6).
Expanding the expression, we get:
36x = 60x + 360.
Subtracting 60x from both sides, we get:
-24x = 360.
Dividing both sides by -24, we get:
x = -360 / -24.
Simplifying, we find:
x = 15.
Therefore, Sue worked for 15 days and Ann worked for 15 + 6 = 21 days.
To determine how many days each person worked, we can set up a system of equations based on the given information.
Let's assume that Sue worked for x days, and Ann worked for y days. We know that Sue earned $36 per day and Ann earned $60 per day. We also know that their total earnings for the month are the same.
Therefore, we can write the following equations:
Sue's earnings = Sue's daily rate * number of days worked
Ann's earnings = Ann's daily rate * number of days worked
Since their total earnings are the same, we can set up an equation:
36x = 60y
Additionally, we know that one person worked six days more than the other:
x = y + 6
Now we can solve this system of equations.
First, substitute the value of x from the second equation into the first equation:
36(y + 6) = 60y
Simplify:
36y + 216 = 60y
Rearrange the equation:
24y = 216
Divide both sides of the equation by 24 to isolate y:
y = 9
Now substitute the value of y back into the second equation to find x:
x = y + 6
x = 9 + 6
x = 15
Thus, Sue worked 15 days and Ann worked 9 days.