A party store offers small balloons and large balloons. You can choose from pink, blue, green, and yellow balloons. You can choose from silver, gold, and white ribbons. Use the counting principle to find the number of different ways you can choose a balloon with a ribbon.
There are 2 choices for the size of the balloon (small or large) and 3 choices for the type of ribbon (silver, gold, or white). Therefore, by the counting principle, there are 2 x 3 = 6 different ways you can choose a balloon with a ribbon.
There are also two different size balloons, small and large. How does this change the number of balloon options that you have found?.
Taking into account the two sizes of balloons, the total number of balloon options is now doubled. So there are 2 x 6 = 12 different ways you can choose a balloon with a ribbon.
To find the number of different ways you can choose a balloon with a ribbon, we need to consider the options for the balloons and ribbons separately and then multiply them together.
Let's start with the balloons. There are 4 colors to choose from (pink, blue, green, and yellow), and we can choose either a small or a large balloon. This means there are 2 options for the size of the balloon and 4 options for the color. Therefore, there are 2 * 4 = 8 different ways to choose a balloon.
Now let's move on to the ribbons. There are 3 colors to choose from (silver, gold, and white). This means there are 3 options for the color of the ribbon.
To find the number of different ways to choose a balloon with a ribbon, we multiply the number of options for the balloons and the number of options for the ribbons together: 8 * 3 = 24.
Therefore, there are 24 different ways you can choose a balloon with a ribbon from the given options.