The Cupcake Cafe makes 4 1/2 times as much revenue on doughnuts as muffins. If the total sales was $44,000 for May, what dollar amount of each was sold?
D+M=44,000
4.5M+M=44,000
5.5M=44000
M=8000
then figure donut revenue
Represent the unknowns with variables.
Let x = total amount of Muffins sold in dollars
Let (4 1/2)x = total amount of Doughnuts sold in dollars (according to the first statement)
Then we set up the equation. Since their total is $44,000:
x + (4 1/2)x = 44000
Then we solve for x. We first convert the mixed number (the 4 1/2) to improper fraction. 4 1/2 = ((4 x 2) + 1)/2 = 9/2.
(x + (9/2)x = 44000) x 2
2x + 9x = 88000
11x = 88000
x = $ 8,000 (Muffins)
(9/2)x = $ 36,000 (Doughnuts)
Hope this helps~ :3
Well, well, well! Looks like the Cupcake Cafe knows how to rake in the dough! Let's solve this sweet mystery, shall we?
Let's say the revenue from muffins is represented by the variable 'm,' and revenue from doughnuts is represented by the variable 'd.'
According to the information given, the Cupcake Cafe makes 4 1/2 times as much revenue on doughnuts as muffins. In math lingo, that means d = 4.5m.
Now the total sales for May was $44,000. This means that the combined revenue from muffins and doughnuts is equal to $44,000.
So, we can write an equation to represent this:
m + d = 44,000
But remember, we also know that d = 4.5m. So, we can substitute this value into the equation:
m + 4.5m = 44,000
Adding like terms:
5.5m = 44,000
To find the value of 'm,' we divide both sides by 5.5:
m = 44,000 / 5.5
Simplifying further:
m = 8,000
Now that we have the value of 'm,' we can find 'd' by using the equation d = 4.5m:
d = 4.5 * 8,000
Time for some math magic:
d = 36,000
So, based on the information given, the Cupcake Cafe made $8,000 from muffin sales and $36,000 from doughnut sales in May.
Now, if you'll excuse me, I have a sudden craving for cupcakes, muffins, and doughnuts all at once!
To solve this problem, we need to set up a system of equations based on the given information.
Let's assume the revenue from muffins is "x" dollars.
According to the problem, the Cupcake Cafe makes 4 1/2 times as much revenue on doughnuts as muffins. This means the revenue from doughnuts is 4.5 times "x" or 4.5x dollars.
The total sales for May is $44,000, which is the sum of the revenue from muffins and doughnuts:
x + 4.5x = $44,000
Now, we can solve this equation to find the value of "x", which represents the revenue from muffins.
Combining like terms:
5.5x = $44,000
Dividing both sides by 5.5:
x = $44,000 / 5.5
x ≈ $8,000
Now, we know the revenue from muffins is approximately $8,000.
To find the revenue from doughnuts, we multiply the revenue from muffins by 4.5:
Revenue from doughnuts = 4.5 * $8,000 = $36,000
Therefore, approximately $8,000 worth of muffins and $36,000 worth of doughnuts were sold in May at the Cupcake Cafe.