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.
The ratio of almonds to chocolate chips is 1/8 cup of almonds for every 3/4 cup of chocolate chips. If Luis uses 3 cups of chocolate chips, he will need 3 * (1/8) / (3/4) = 1/8 * 4/3 = 1/6 = 0.16666666667 cups of almonds. Rounded to the nearest tenth, he will need 0.2 cups of almonds. Answer: \boxed{0.2}.
0.2 is not a option
Apologies for the confusion. In that case, let's recalculate.
The ratio of almonds to chocolate chips is 1/8 cup of almonds for every 3/4 cup of chocolate chips. If Luis uses 3 cups of chocolate chips, he will need (1/8) / (3/4) * 3 = (1/8) * (4/3) * 3 = 4/8 = 1/2 = 0.5 cups of almonds. Rounded to the nearest tenth, he will need 0.5 cups of almonds. Answer: \boxed{0.5}.
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 point)
Responses

18.0 cups
18.0 cups

0.8 cup
0.8 cup

0.4 cup
0.4 cup

0.5 cup
0.5 cup
The ratio of almonds to chocolate chips is 1/8 cup of almonds for every 3/4 cup of chocolate chips.
To find the amount of almonds needed, we can set up the following proportion:
1/8 cup almonds / 3/4 cup chocolate chips = x / 3 cups chocolate chips
Cross multiplying, we get:
(1/8)(3) = (3/4)(x)
3/8 = 3x/4
To solve for x, we can cross multiply again:
4(3/8) = 3x
12/8 = 3x
3/2 = 3x
x = 1/2 or 0.5 cup
Therefore, Luis will need 0.5 cups of almonds. The correct answer is: 0.5 cup.
To determine how many cups of almonds Luis will need, we need to find the proportion between the amount of almonds and the amount of chocolate chips specified in the recipe.
According to the recipe, there is 1/8 cup of almonds for every 3/4 cup of chocolate chips. To find out how many cups of almonds Luis will need when using 3 cups of chocolate chips, we can set up the following proportion:
(1/8 cup of almonds) / (3/4 cup of chocolate chips) = (x cups of almonds) / (3 cups of chocolate chips)
To solve for x, we cross-multiply:
(1/8) * (3) = (3/4) * (x)
3/8 = 3x/4
Next, we can eliminate the denominators by multiplying both sides of the equation by 8:
8 * (3/8) = 8 * (3x/4)
3 = 6x/4
Now, simplify the fraction:
3 = 3x/2
To isolate x, multiply both sides of the equation by 2/3:
3 * (2/3) = (3x/2) * (2/3)
2 = x
Therefore, Luis will need 2 cups of almonds when using 3 cups of chocolate chips.