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
To find out how many cups of almonds Luis will need, we need to set up a ratio with the amount of chocolate chips and the amount of almonds.
The ratio is 3/4 cups of chocolate chips to 1/8 cup of almonds.
If Luis uses 3 cups of chocolate chips, we can set up the following equation:
3 cups chocolate chips = x cups almonds / 1
To solve for x, we can cross multiply:
3 * 1 = 4 * x
3 = 4x
x = 3/4
Therefore, Luis will need 0.75 cups of almonds.
To find out how many cups of almonds Luis will need, we need to use the proportion given in the recipe:
Almonds / Chocolate chips = 1/8 cup / 3/4 cup
To solve for the unknown amount of almonds, we can cross-multiply and solve the equation. Let's do it step-by-step:
1/8 cup / 3/4 cup = Almonds / 3 cups
First, let's simplify the fraction on the left-hand side:
(1/8) / (3/4) = (1/8) * (4/3) = 4/24 = 1/6 cup
So the equation becomes:
1/6 cup = Almonds / 3 cups
Now, we can solve for Almonds by cross-multiplying:
Almonds = (1/6) cup * 3 cups
Almonds = 3/6 cup
Almonds = 1/2 cup
Therefore, Luis will need approximately 0.5 cups of almonds. Rounded to the nearest tenth, he will need 0.5 cups of almonds.
To find the amount of almonds Luis will need, we need to set up a proportion using the given ratio.
1/8 cup of almonds is to 3/4 cup of chocolate chips
Let's denote the amount of almonds as 'x' cups.
So, the proportion becomes:
1/8 / x = 3/4 / 3
To solve this proportion, we can cross multiply:
1/8 * 3 = x * 3/4
3/8 = 3x/4
Now, let's solve for 'x' by taking cross-products:
(4 * 3) / 8 = 3x
12 / 8 = 3x
3/2 = 3x
Now, divide both sides by 3:
(3/2) / 3 = x
1/2 = x
So Luis will need 0.5 cups of almonds (rounded to the nearest tenth) when he uses 3 cups of chocolate chips.
redo
I apologize for the confusion. Let's solve the proportion again:
1/8 cup of almonds is to 3/4 cup of chocolate chips.
Let's denote the amount of almonds as 'x' cups.
The proportion becomes:
1/8 / x = 3/4 / 3
To solve this proportion, we can cross multiply:
(1/8) * 3 = (3/4) * x
3/8 = (3/4) * x
Now, let's solve for 'x' by multiplying both sides by 4/3:
(3/8) * (4/3) = (3/4) * x * (4/3)
(3/2) * (4/3) = (3/4) * x
12/6 = 3/4 * x
2 = 3/4 * x
Now, divide both sides by 3/4:
2 / (3/4) = (3/4 * x) / (3/4)
2 * (4/3) = x
8/3 = x
So Luis will need approximately 2.7 cups of almonds (rounded to the nearest tenth) when he uses 3 cups of chocolate chips.