Question

You baked 42 chocolate cupcakes and 28 red velvet cupcakes. You package them in boxes that have the same ratio of chocolate to red velvet cupcakes. How many red velvet cupcakes are in a box that has 24 chocolate cupcakes?

Answer 1

By maintaining the ratio of 3 chocolate cupcakes to 2 red velvet cupcakes, a box with 24 chocolate cupcakes would contain 16 red velvet cupcakes.

Step-by-step explanation:

The student baked 42 chocolate cupcakes and 28 red velvet cupcakes.

To find the number of red velvet cupcakes in a box with 24 chocolate cupcakes, we need to use the original ratio, which is 42 chocolate to 28 red velvet. We can simplify this ratio to 3 chocolate to 2 red velvet, since both numbers are divisible by 14. Therefore, for every 3 chocolate cupcakes, there should be 2 red velvet cupcakes.

If a box contains 24 chocolate cupcakes, we would divide 24 by 3 to find out how many times the chocolate cupcake unit fits into 24, which is 8 times. Then we multiply the number of red velvet cupcakes in the unit (2) by 8 to get the total number of red velvet cupcakes in a box with 24 chocolate cupcakes.

Calculation: 24 ÷ 3 = 8

8 × 2 = 16 red velvet cupcakes

So, a box with 24 chocolate cupcakes will contain 16 red velvet cupcakes.

Answer 2

There are 16 red velvet cupcakes.

42 chocolate + 28 red velvet = 70 cupcakes
(42/ 70 *100%)+ (28 / 70 *100%) = (70/70 * 100%)
60 % chocolate + 40% red velvet = 100% cupcake

24 chocolate + X red velvet = Y cupcake

Y cupcake = 24 / 60% = 40 cupcakes
X red velvet = 40 cupcakes * 40% = 16 red velvet.

OR

(24 / 60%) * 40% = 16 red velvet cupcakes