Alex is making homemade cereal. For every 3 cups of granola, he adds 1 cup of dried cranberries. If he uses a total of 3 cups of dried cranberries, how many cups of granola are in the cereal?
What do you think?
Please try to figure it out yourself.
cran/gran = 1/3
1/3 = 3/x
x = 9
To find out how many cups of granola are in the cereal, we need to find the ratio between the granola and the dried cranberries. The given ratio is 3 cups of granola to 1 cup of dried cranberries.
Since Alex used a total of 3 cups of dried cranberries, we can set up a proportion to determine the corresponding amount of granola.
If x represents the number of cups of granola, we have:
3 cups of granola / 1 cup of dried cranberries = x cups of granola / 3 cups of dried cranberries
This can be simplified to:
3/1 = x/3
To solve for x, we can cross-multiply:
1 * x = 3 * 3
x = 9
Therefore, there are 9 cups of granola in the cereal.