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
Options:
0.5 cup
0.4 cup
18.0 cup
0.8 cup
Since the recipe calls for 1/8 cup of almonds for every 3/4 cup of chocolate chips, the ratio of almonds to chocolate chips is 1/8 : 3/4.
To find out how many cups of almonds Luis needs, we can set up the following proportion:
(1/8) / (3/4) = x / 3
where x is the number of cups of almonds Luis needs.
To solve for x, we can cross-multiply:
(3/4) * x = (1/8) * 3
3x/4 = 3/8
Next, we can multiply both sides of the equation by 4 to eliminate the fraction:
3x = 4 * (3/8)
3x = 3/2
x = (3/2) * (1/3) [Dividing both sides by 3]
x = 1/2
Therefore, Luis will need 0.5 cup of almonds.
To find out how many cups of almonds Luis will need, we can set up a proportion using the information given.
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 needed.
The proportion can be written as:
(1/8) / (3/4) = x / 3
Now, let's solve for x.
By cross-multiplying, we have:
(1/8) * 3 = (3/4) * x
3/8 = 3x/4
Now, let's simplify the equation:
3 * 4 = 8 * 3x
12 = 24x
Dividing both sides by 24, we get:
x = 1/2
Therefore, Luis will need 0.5 cup of almonds to go with 3 cups of chocolate chips.
So the correct option is:
0.5 cup
To find out how many cups of almonds Luis will need, we can set up a proportion based on the given ratio in the recipe.
The proportion can be set up as follows:
(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 can cross multiply and then divide:
(1/8) / (3/4) = x / 3
We can simplify the left side of the equation:
(1/8) * (4/3) = x / 3
Multiplying across:
4/24 = x / 3
Simplifying the left side:
1/6 = x / 3
To find x, we can multiply both sides by 3:
1/6 * 3 = x
3/6 = x
Simplifying:
1/2 = x
Therefore, Luis will need 0.5 cups of almonds.
The correct option is:
0.5 cup