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.