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
0.5 cup
0.5 cup
0.4 cup
0.4 cup
18.0 cups
18.0 cups
0.8 cup
To find out how many cups of almonds Luis will need, we need to determine the ratio of almonds to chocolate chips in the recipe.
The ratio is stated as 1/8 cup of almonds for every 3/4 cup of chocolate chips.
To find the amount of almonds needed for 3 cups of chocolate chips, we can set up a proportion:
(1/8 cup of almonds) / (3/4 cup of chocolate chips) = x / 3 cups of chocolate chips
Cross-multiplying, we have:
(1/8) * 3 cups of chocolate chips = (3/4) * x
(3/8) cups of almonds = (3/4) * x
Multiplying both sides by 8/3, we get:
x = (3/4) * (8/3) = 2
Therefore, Luis will need 2 cups of almonds.
To find out how many cups of almonds Luis needs, he must first determine the ratio of almonds to chocolate chips in the recipe.
The ratio is 1/8 cup of almonds for every 3/4 cup of chocolate chips.
To determine how many cups of almonds are needed for 3 cups of chocolate chips, we can set up a proportion:
(1/8 cup almonds)/(3/4 cup chocolate chips) = (x cups almonds)/(3 cups chocolate chips)
Cross multiplying, we get:
(1/8)*(3) = (3/4)*(x)
3/8 = 3x/4
Multiply both sides by 4 to get rid of the denominator:
4*(3/8) = (3x/4)*4
3/2 = 3x
Divide both sides by 3:
(3/2)/3 = (3x)/3
1/2 = x
Therefore, Luis will need 0.5 cups of almonds.
The correct answer is:
0.5 cup
To find out how many cups of almonds Luis will need when using 3 cups of chocolate chips, we'll use the given ratio of 1/8 cup of almonds to every 3/4 cup of chocolate chips.
First, we'll determine the number of units of the ratio we have by dividing the amount of chocolate chips by the given ratio.
3 cups of chocolate chips / (3/4 cup of chocolate chips) = 4
This means that we have 4 units of the ratio.
Next, we'll find the corresponding amount of almonds by multiplying the number of units by the ratio of almonds.
4 units * 1/8 cup of almonds = 4/8 cup of almonds = 0.5 cup of almonds
Therefore, Luis will need 0.5 cups of almonds.