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
0.4 cup
0.4 cup
0.5 cup
0.5 cup
18.0 cups
18.0 cups
0.8 cup
To determine how many cups of almonds Luis will need, we can set up a proportion based on the ratio given in the recipe:
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) = (3/4) * x
3/8 = 3/4 * x
To isolate x, we can multiply both sides of the equation by 4/3:
(3/8) * (4/3) = x
12/24 = x
Simplifying the fraction:
1/2 = x
Therefore, Luis will need 0.5 cups of almonds.
To find out how many cups of almonds Luis needs, we need to set up a proportion. Since the recipe calls for 1/8 cup of almonds for every 3/4 cup of chocolate chips, we can write the proportion as:
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 cross-multiply:
(1/8) * 3 cups of chocolate chips = (3/4) * x cups of almonds
3/8 cups of almonds = (3/4) * x cups of almonds
Multiplying both sides by 8/3:
1 cup of almonds = 2 cups of almonds * (3/4) * x
x = (1 cup of almonds) / (2 cups of almonds * (3/4)) = 1 / (2 * 3/4) = 1 / (6/4) = 1 / (3/2) = 2/3 ≈ 0.7 cups
Therefore, Luis will need approximately 0.7 cups of almonds. The closest rounded answer is 0.8 cups, so the correct answer is 0.8 cup.
To find out how many cups of almonds Luis will need, we first need to determine the ratio of almonds to chocolate chips from the recipe. The recipe states that for every 3/4 cup of chocolate chips, we need 1/8 cup of almonds.
To calculate the ratio, we divide the amount of almonds (1/8 cup) by the amount of chocolate chips (3/4 cup):
(1/8) ÷ (3/4)
To divide fractions, we need to flip the second fraction and multiply:
(1/8) × (4/3)
Multiplying the numerators gives us 4, and multiplying the denominators gives us 24:
4/24
Simplifying the fraction by reducing the numerator and denominator by their greatest common factor, which is 4, we get:
1/6
This means that for every 3/4 cup of chocolate chips, Luis will need 1/6 cup of almonds.
Now, Luis is using 3 cups of chocolate chips. To calculate the amount of almonds he will need, we multiply the amount of chocolate chips by the ratio:
3 cups × (1/6) = 3/2 cups
Rounding to the nearest tenth, the answer is approximately 1.5 cups. So Luis will need 1.5 cups of almonds.
you sure
Apologies for the mistake in my previous response. Let's correct it.
To find out how many cups of almonds Luis will need, we first need to determine the ratio of almonds to chocolate chips from the recipe.
The recipe states that for every 3/4 cup of chocolate chips, we need 1/8 cup of almonds.
To calculate the ratio, we divide the amount of almonds (1/8 cup) by the amount of chocolate chips (3/4 cup):
(1/8) ÷ (3/4)
To divide fractions, we need to flip the second fraction and multiply:
(1/8) × (4/3)
Multiplying the numerators gives us 4, and multiplying the denominators gives us 24:
4/24
Simplifying the fraction by reducing the numerator and denominator by their greatest common factor, which is 4, we get:
1/6
This means that for every 3/4 cup of chocolate chips, Luis will need 1/6 cup of almonds.
Now, Luis is using 3 cups of chocolate chips. To calculate the amount of almonds he will need, we multiply the amount of chocolate chips by the ratio:
3 cups × (1/6) = 3/6 cups
Simplifying the fraction:
3/6 = 1/2
Therefore, Luis will need 1/2 cup of almonds. Rounding to the nearest tenth, the answer is 0.5 cups. So Luis will need 0.5 cups of almonds.
step by step bot and explained bot
I apologize for the confusion in my previous responses. Here is a step-by-step explanation of how to calculate the amount of almonds Luis will need for his chocolate chip cookies:
1. Determine the ratio: According to the recipe, for every 3/4 cup of chocolate chips, Luis needs 1/8 cup of almonds.
2. Write the proportion: Set up a proportion with the ratio of almonds to chocolate chips:
(1/8 cup of almonds) / (3/4 cup of chocolate chips) = x cups of almonds / 3 cups of chocolate chips
3. Cross-multiply: Multiply the numerator of the first fraction by the denominator of the second fraction, and vice versa:
(1/8) * (3) = (3/4) * x
4. Simplify: Evaluate the multiplication on both sides of the equation:
3/8 = 3/4 * x
5. Isolate x: Divide both sides of the equation by 3/4 to isolate x:
(3/8) / (3/4) = x
6. Simplify: Divide fractions by multiplying the first fraction by the reciprocal of the second fraction:
(3/8) * (4/3) = x
7. Calculate: Multiply the numerators and denominators to find x:
(3 * 4) / (8 * 3) = x
12/24 = x
8. Simplify: Reduce the fraction if possible:
1/2 = x
Therefore, Luis will need 1/2 cup of almonds for his 3 cups of chocolate chips. Rounded to the nearest tenth, the answer is 0.5 cups.
Question
Lenny is making his own laundry soap. The recipe calls for 2 parts borax, 2 parts washing soda, and 1 part soap flakes. If Lenny uses 7 cups of soap flakes, how many cups of borax and washing soda combined does he need?(1 point)
Responses
21 cups
21 cups
14 cups
14 cups
28 cups
28 cups
7 cups
If the recipe calls for 2 parts borax, 2 parts washing soda, and 1 part soap flakes, and Lenny uses 7 cups of soap flakes, we can calculate the amount of borax and washing soda needed.
Since the ratio is 2 parts borax to 2 parts washing soda to 1 part soap flakes, we can add the parts together to get a total of 5 parts.
To find the amount of borax and washing soda, we can divide the total amount of soap flakes (7 cups) by the total number of parts (5 parts). Then, multiply this result by the number of parts for each ingredient.
Amount of borax and washing soda = (7 cups / 5 parts) * (2 parts borax + 2 parts washing soda)
= (7/5) * (2 + 2)
= (7/5) * 4
= 28/5
≈ 5.6 cups
Rounded to the nearest tenth, Lenny needs approximately 5.6 cups of borax and washing soda combined. The closest rounded answer is 5.6 cups, so the correct response is 5.6 cups.