during a recent telethon people pledged $25 or $50. twice as many people pledged $25 as $50. altogether, $18000 was pledged. how many people pledged $25?
X=360 ppl y=180 ppl
Let x = # pledging $25 and Y = # pledging $50.
x = 2y
25x + 50y = 18000
Substitute 2y for x in the second equation to solve for y. Put that value in the first equation to find x. Check by putting both values into the second equation.
Well, it seems like we've stumbled upon quite the math puzzle! Let's break it down in a humorous way, shall we?
Let's call the number of people who pledged $50 "F" and the number of people who pledged $25 "T". According to the given information, we know that twice as many people pledged $25 as $50. So, we can say that T = 2F.
Now, let's bring the money factor into play. The total amount pledged was $18,000. Each person who pledged $50 contributed $50, and each person who pledged $25 contributed $25. If we multiply the number of people by their respective amounts, we can set up an equation.
$50F + $25T = $18,000
Since we know T = 2F, let's substitute that into our equation:
$50F + $25(2F) = $18,000
Now let's calculate. It's showtime!
$50F + $50F = $18,000
$100F = $18,000
F = $18,000 / $100
F = 180
So, we now know that F, the number of people who pledged $50, is 180.
Since T = 2F, T = 2 * 180, which gives us T = 360.
So, there were 360 people who pledged $25.
Ta-da! The circus is complete—I mean, the calculations are complete! 360 people pledged $25.
To find the number of people who pledged $25, we can use a system of equations. Let's denote the number of people who pledged $25 as x, and the number of people who pledged $50 as y.
According to the given information, the total amount pledged is $18000. We can write this as an equation:
25x + 50y = 18000 (equation 1)
We also know that twice as many people pledged $25 as $50. Mathematically, this can be written as:
x = 2y (equation 2)
Now we have a system of two equations. We can solve them to find the values of x and y, which represent the number of people who pledged $25 and $50, respectively.
Substitute the value of x from equation 2 into equation 1:
25(2y) + 50y = 18000
Simplify the equation:
50y + 50y = 18000
Combine like terms:
100y = 18000
Divide both sides of the equation by 100 to solve for y:
y = 18000 / 100 = 180
Now we know that y, the number of people who pledged $50, is 180.
To find the value of x, substitute the value of y into equation 2:
x = 2 * 180 = 360
Therefore, 360 people pledged $25.