Luis is making chocolate chip cookies. The recipe calls for 1/8 of almonds for every 3/4 cup of chocolate chips. If Luis uses 3 cups of chocolate chips, how many cups of almonds will he need?
For every 3/4 cup of chocolate chips, Luis needs 1/8 * 3/4 = <<1/8*3/4=3/32>>3/32 cups of almonds.
To find how many cups of almonds he needs, you divide the total amount of chocolate chips by the number of cups of chocolate chips per cup of almonds: 3/32 * 3 = <<3/32*3=9/32>>9/32 cups. Answer: \boxed{\frac{9}{32}}.
To find out how many cups of almonds Luis will need, we need to determine the ratio of almonds to chocolate chips.
The recipe states that for every 3/4 cup of chocolate chips, 1/8 cup of almonds is needed.
First, let's establish the ratio in terms of cups:
1/8 cup of almonds : 3/4 cup of chocolate chips
Next, let's determine the amount of almonds needed for 3 cups of chocolate chips.
We can set up a proportion to solve for the unknown amount of almonds (A) needed:
1/8 cup of almonds / 3/4 cup of chocolate chips = A cups of almonds / 3 cups of chocolate chips
To solve this proportion, we can cross-multiply:
(1/8) / (3/4) = (A) / (3)
(1/8) x (4/3) = A/3
(1/2) / 3 = A/3
1/6 = A/3
Now, we can solve for A by multiplying both sides by 3:
(1/6) x 3 = A
A = 1/2
According to the calculation, Luis will need 1/2 cup of almonds when using 3 cups of chocolate chips for his chocolate chip cookies.
To find out how many cups of almonds Luis will need, we need to determine the ratio of almonds to chocolate chips based on the recipe.
The recipe calls for 1/8 cup of almonds for every 3/4 cup of chocolate chips.
To relate the amounts of almonds and chocolate chips, we can set up a proportion.
Let's set up the proportion:
1/8 cups almonds / 3/4 cups chocolate chips = x cups almonds / 3 cups chocolate chips
Cross-multiplying, we get:
(1/8) * 3 = (3/4) * x
Simplifying, we have:
3/8 = 3/4x
Next, we can simplify the equation by multiplying both sides by 8/3:
(8/3) * (3/8) = (8/3) * (3/4x)
2 = 2x
Dividing both sides by 2:
2/2 = 2x/2
1 = x
Therefore, Luis will need 1 cup of almonds if he uses 3 cups of chocolate chips.