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)
O 0.8 cup
O 0.4 cup
O 0.5 cup
18.0 cups
Using the recipe ratio, we can set up a proportion to find out how many cups of almonds Luis will need.
1/8 cup of almonds is to 3/4 cup of chocolate chips as x cups of almonds is to 3 cups of chocolate chips.
(1/8) / (3/4) = x / 3
To solve for x, we can cross multiply and divide:
(1/8) * 3 = (3/4) * x
3/8 = 3x/4
Multiply both sides by 4 to get rid of the denominator:
4 * (3/8) = 4 * (3x/4)
3/2 = x
Therefore, Luis will need 1.5 cups of almonds. But since we are rounding to the nearest tenth, the answer is 0.5 cups.
So the correct answer is:
O 0.5 cup
To find out how many cups of almonds Luis will need, we first need to determine the ratio of almonds to chocolate chips. The recipe calls for 1/8 cup of almonds for every 3/4 cup of chocolate chips.
Next, we can calculate the ratio of almonds to chocolate chips:
1/8 cup of almonds : 3/4 cup of chocolate chips
To make the two fractions have the same denominator, we can convert 3/4 to have a denominator of 8:
1/8 cup of almonds : 6/8 cup of chocolate chips
Now that we have the ratio, we can use it to find out how many cups of almonds Luis will need. Given that Luis is using 3 cups of chocolate chips:
3 cups of chocolate chips x (1/8 cup of almonds / 6/8 cup of chocolate chips)
Simplifying the fractions:
3 x 1/8 / 6/8 = 3/6 = 1/2
Therefore, Luis will need 1/2 cup of almonds.
Rounding to the nearest tenth, Luis will need approximately 0.5 cups of almonds.
So the answer is: O 0.5 cup
To solve this problem, we need to find the proportion of almonds to chocolate chips and use it to calculate the amount of almonds needed for 3 cups of chocolate chips.
According to the recipe, the ratio is 1/8 cup of almonds for every 3/4 cup of chocolate chips. We can convert this ratio to a more workable form by multiplying both the numerator and denominator by 8:
1/8 * 8/8 = 8/64 cup of almonds for every 24/64 cup of chocolate chips.
Simplifying further, we get:
8/64 cup of almonds for every 3/8 cup of chocolate chips.
Now, to find out how many cups of almonds are needed for 3 cups of chocolate chips, we can set up a proportion:
8/64 cup of almonds = 3/8 cup of chocolate chips
To solve for the amount of almonds, we cross-multiply and divide:
(8/64) * (3/8) = (24/512) ≈ 0.046875 cup of almonds
Rounding this to the nearest tenth, we get approximately 0.0.5 cup.
Therefore, Luis will need approximately 0.5 cup of almonds. The correct option is "0.5 cup" (option C).