Marco is making blueberry muffins. The ratio between flour and blueberries for the recipe being used is shown in the table below.
table: 3/4 cups of flower = 1/4 cup of blue berries
1 1/2 cups of flower = 1/2 cups of blue berries
2 1/4 cups of flower = 3/4 cups of blue berries
2 5/8 cups of flower = 7/8 cups of blue berries
how many cups of blue berries will marco need if he has 2 cups of flower to use?
To find out how many cups of blueberries Marco will need if he has 2 cups of flour, we need to use the ratio given in the table.
First, let's find the ratio of flour to blueberries for 2 cups of flour. To do this, we can compare the ratios for 1 1/2 cups of flour and 2 1/4 cups of flour, which are given in the table.
The ratio for 1 1/2 cups of flour is 1/2 cup of blueberries.
The ratio for 2 1/4 cups of flour is 3/4 cups of blueberries.
Since the ratio is the same between 1 1/2 cups and 2 1/4 cups, we can assume it will also be the same for 2 cups of flour.
So, the ratio for 2 cups of flour is also 3/4 cups of blueberries.
To find out how many cups of blueberries Marco will need, we can set up a proportion:
(2 cups of flour) / (x cups of blueberries) = (3/4 cups of flour) / (1 cup of blueberries)
Cross-multiplying and solving for x:
2 cups of flour = (3/4 cups of flour) * (x cups of blueberries)
2 = (3/4) * (x)
2 = (3/4x)
2 * 4/3 = x
8/3 = x
So, Marco will need 8/3 cups of blueberries if he has 2 cups of flour. Simplifying the fraction, we get:
8/3 = 2 2/3
Therefore, Marco will need 2 2/3 cups of blueberries.