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

1 answer

According to the given recipe, for every 3/4 cup of chocolate chips, 1/8 cup of almonds is needed.

To find out how many cups of almonds Luis will need, we can set up a proportion.

Let x be the number of cups of almonds Luis will need.

(1/8) / (3/4) = x / 3

To solve for x, we can cross multiply:

3 * (1/8) = (3/4) * x

3/8 = (3/4) * x

To get rid of the denominator 4, we can multiply both sides of the equation by 4:

(4) * (3/8) = (4/1) * [(3/4) * x]

(12/8) = 3x

To get rid of the numerator 8, we can divide both sides of the equation by 8:

(12/8) / (3/1) = x

12/8 = 4

x = 1.5

Therefore, Luis will need 1.5 cups of almonds. Rounded to the nearest tenth, this is equal to 1.5 cups. Answer: \boxed{1.5}.