Did you know?
Did you know that fractions can be used to represent parts of a whole? In the scenario of a teen club selling cupcakes, let's see how fractions can help us find out how many cupcakes were left to sell.
First, they sold 2/3 of their cupcakes in the morning. This means that 2 out of 3 equal parts of the cupcakes were sold.
Next, they sold 1/6 of their cupcakes in the afternoon. This means that 1 out of 6 equal parts of the cupcakes were sold.
To find the total number of cupcakes sold, we add the fractions together: 2/3 + 1/6 = 4/6 + 1/6 = 5/6.
We know that they sold 200 cupcakes altogether. Since 5/6 of the cupcakes were sold, we can set up a proportion to determine the total number of cupcakes:
5/6 = 200 cupcakes
To solve the proportion, we multiply both sides by the reciprocal of 5/6, which is 6/5:
(5/6) * (6/5) = (200 cupcakes) * (6/5)
After simplifying, we find that 1 cupcake is equal to 240/5 or 48 cupcakes.
Therefore, to find out how many cupcakes were left to sell, we subtract the cupcakes sold from the total number of cupcakes:
Total cupcakes - Cupcakes sold = Cupcakes left
200 cupcakes - 160 cupcakes = 40 cupcakes left to sell.
Thus, 40 cupcakes were left to sell after the teen club's cupcake sale.
