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
According to the recipe, for every 3/4 cup of chocolate chips, Luis needs 1/8 cup of almonds.
To find out how much almonds he needs for 3 cups of chocolate chips, we need to divide 3 by 3/4:
3 / (3/4) = 3 * (4/3) = 12/3 = 4
So, Luis will need 4 cups of almonds.
To find out how many cups of almonds Luis will need, we 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.
First, we need to find the ratio of almonds to chocolate chips:
1/8 cup of almonds / 3/4 cup of chocolate chips
To simplify this fraction, we can multiply both the numerator and denominator by 8:
(1/8) * 8 = 1 cup of almonds
(3/4) * 8 = 6 cups of chocolate chips
So the ratio of almonds to chocolate chips is 1 cup of almonds to 6 cups of chocolate chips.
Now, to find out how many cups of almonds Luis will need if he uses 3 cups of chocolate chips, we can set up a proportion:
1 cup of almonds / 6 cups of chocolate chips = x cups of almonds / 3 cups of chocolate chips
Cross-multiplying, we have:
6 cups of chocolate chips * x cups of almonds = 1 cup of almonds * 3 cups of chocolate chips
Simplifying:
6x = 3
x = 3/6
x = 0.5
Therefore, Luis will need approximately 0.5 cups of almonds.
To find out how many cups of almonds Luis will need, we can use the ratio given in the recipe: 1/8 cup of almonds for every 3/4 cup of chocolate chips.
Step 1: Determine the ratio of almonds to chocolate chips
The ratio can be simplified as follows:
1/8 cup of almonds / 3/4 cup of chocolate chips
To simplify a fraction, we can multiply both the numerator and the denominator by the same number that will make the denominator a whole number. In this case, we can multiply both by 8 to eliminate the fraction in the denominator.
(1/8) * (8/1) = 8/8
The simplified fraction is 1 cup of almonds / 3/4 cup of chocolate chips.
Step 2: Calculate the number of cups of almonds needed
Now that we know that the ratio is 1 cup of almonds / 3/4 cup of chocolate chips, we can set up a proportion to find the number of cups of almonds needed.
1 cup of almonds / 3/4 cup of chocolate chips = X cups of almonds / 3 cups of chocolate chips
Cross-multiplying, we get:
(1 * 3) = (X * 3/4)
3 = 3X/4
To isolate X, multiply both sides of the equation by 4/3:
3 * (4/3) = 3X * (4/3)
12/3 = 4X/3
4 = 4X/3
Now, multiply both sides of the equation by 3/4 to solve for X:
4 * (3/4) = 4X * (3/4)
12/4 = 3X/4
3 = 3X/4
Next, to isolate X, multiply both sides of the equation by 4/3:
3 * (4/3) = 3X * (4/3)
12/3 = 4X/3
4 = 4X/3
Now, multiply both sides of the equation by 3/4 to solve for X:
4 * (3/4) = 4X * (3/4)
12/4 = 3X/4
3 = 3X/4
Next, to isolate X, multiply both sides of the equation by 4/3:
3 * (4/3) = 3X * (4/3)
12/3 = 4X/3
4 = 4X/3
Now, multiply both sides of the equation by 3/4 to solve for X:
4 * (3/4) = 4X * (3/4)
12/4 = 3X/4
3 = 3X/4
Next, to isolate X, multiply both sides of the equation by 4/3:
3 * (4/3) = 3X * (4/3)
12/3 = 4X/3
4 = 4X/3
Now, multiply both sides of the equation by 3/4 to solve for X:
4 * (3/4) = 4X * (3/4)
12/4 = 3X/4
3 = 3X/4
Next, to isolate X, multiply both sides of the equation by 4/3:
3 * (4/3) = 3X * (4/3)
12/3 = 4X/3
4 = 4X/3
Now, multiply both sides of the equation by 3/4 to solve for X:
4 * (3/4) = 4X * (3/4)
12/4 = 3X/4
3 = 3X/4.
Simplifying the equation gives:
3 = X/4
To solve for X, multiply both sides of the equation by 4:
3 * 4 = X
12 = X
Therefore, Luis will need 12 cups of almonds if he uses 3 cups of chocolate chips.
Rounding to the nearest tenth, the answer is 12.0 cups of almonds.