Luis is making chocolate chip cookies. The recipe calls for 1/8 of a cup of almonds, every 3/4 cup of chocolate chips if Luis uses 3 cups of chocolate chips, how many cups of almonds will he need?
To find out how many cups of almonds Luis will need, we need to compare the amount of chocolate chips to the amount of almonds required in the recipe.
The recipe states that for every 3/4 cup of chocolate chips, we need 1/8 cup of almonds.
First, let's determine the ratio between chocolate chips and almonds:
Ratio = Amount of almonds / Amount of chocolate chips
Now, let's set up a proportion. Since the amount of almonds is given in units of 1/8 cup, we can set up the proportion like this:
1/8 cup almonds over 3/4 cup chocolate chips
To make this proportion easier to work with, we can convert 3/4 cup into eighths of a cup:
3/4 cup * 8/8 = 6/8 cup chocolate chips
Now our proportion becomes:
1/8 cup almonds over 6/8 cup chocolate chips
To find the amount of almonds needed for 3 cups of chocolate chips, we multiply both sides of the proportion by 3, as the amount of chocolate chips has tripled:
(1/8 cup almonds / 6/8 cup chocolate chips) * 3 = Amount of almonds / 3 cups chocolate chips
Simplifying the proportion gives us:
3/6 = Amount of almonds / 3 cups chocolate chips
Now, let's calculate:
Amount of almonds = (3/6) * 3 cups of chocolate chips
Amount of almonds = 9/6 cups
Finally, we can simplify the fraction:
Amount of almonds = 1 1/2 cups
Therefore, Luis will need 1 1/2 cups of almonds if he uses 3 cups of chocolate chips.