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?

3 answers

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
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