Luis is making chocolate chip cookies. The recipe calls for 1/8 cup 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? Round to the nearest tenth.
If the recipe calls for 1/8 cup of almonds for every 3/4 cup of chocolate chips, then for 3 cups of chocolate chips, Luis will need 3/0.75 = <<3/0.75=4>>4 times the amount of almonds.
This means Luis will need 4*1/8 = <<4*1/8=0.5>>0.5 cups of almonds. Answer: \boxed{0.5}.
To find the number of cups of almonds Luis will need, we can set up a proportion using the ratio from the recipe.
The recipe calls for 1/8 cup of almonds for every 3/4 cup of chocolate chips.
Let x be the number of cups of almonds Luis will need.
Therefore, the proportion can be set up as:
1/8 cups of almonds / 3/4 cups of chocolate chips = x cups of almonds / 3 cups of chocolate chips
To solve for x, we can cross multiply:
(1/8) / (3/4) = x / 3
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(1/8) * (4/3) = x / 3
Multiplying the numerators and denominators:
4/24 = x / 3
Simplifying:
1/6 = x / 3
We can now find the value of x by multiplying both sides of the equation by 3:
3 * (1/6) = 3 * (x / 3)
1/2 = x
Therefore, Luis will need 1/2 cup of almonds.
Rounding to the nearest tenth, the answer is approximately 0.5 cups of almonds.
To find out how many cups of almonds Luis will need, we can set up a proportion based on the ratio of almonds to chocolate chips:
Almonds / Chocolate chips = 1/8 cup / 3/4 cup
To simplify the proportion, we can multiply both sides of the equation by 8/3:
Almonds = (1/8 cup) * (8/3) * (3/4 cup)
Almonds = (1/24) * (24/4) cup
Simplifying further, we get:
Almonds = 1/4 cup
Therefore, Luis will need 1/4 cup of almonds. Rounded to the nearest tenth, this is approximately 0.3 cups of almonds.