Luis is making chocolate chip cookies. The recipe calls for 18 cup of almonds for every 34 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 the number of cups of almonds Luis needs, we can set up a proportion:
18 cups almonds / 34 cups chocolate chips = x cups almonds / 3 cups chocolate chips
Cross multiplying, we get:
34 cups chocolate chips * x cups almonds = 18 cups almonds * 3 cups chocolate chips
Simplifying, we find:
34x = 54
Dividing both sides by 34, we get:
x = 54/34 ≈ 1.588
Rounding to the nearest tenth, Luis will need approximately 1.6 cups of almonds.
To find out how many cups of almonds Luis will need, we can use the given ratio of almonds to chocolate chips. The recipe says that for every 34 cup of chocolate chips, you'll need 18 cup of almonds.
So, let's set up a proportion:
Almonds / Chocolate chips = 18 / 34
To solve this proportion, we can cross-multiply:
Almonds * 34 = 18 * 3
Now, we can solve for Almonds:
Almonds = (18 * 3) / 34 = 1.586 cup
However, since we need to round the answer to the nearest tenth, the final answer will be 1.6 cups of almonds.
To determine the number of cups of almonds Luis will need, we can use the given ratio of 18 cups of almonds for every 34 cups of chocolate chips.
First, let's find the ratio of almonds to chocolate chips:
18 cups of almonds / 34 cups of chocolate chips
Next, we can set up a proportion using the ratio:
18 cups of almonds / 34 cups of chocolate chips = x cups of almonds / 3 cups of chocolate chips
To solve for x, we can cross multiply and solve for x:
18 cups of almonds * 3 cups of chocolate chips = 34 cups of chocolate chips * x cups of almonds
54 cups of almonds = 34x
To solve for x, divide both sides of the equation by 34:
(54 cups of almonds) / 34 = (34x) / 34
After simplifying:
1.588 cups of almonds ≈ 1.6 cups of almonds
Rounded to the nearest tenth, Luis will need approximately 1.6 cups of almonds.
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
Since the recipe calls for 2 parts borax and 2 parts washing soda for every 1 part of soap flakes, the ratio can be written as:
2 borax : 2 washing soda : 1 soap flakes
To find the total number of cups of borax and washing soda combined, we need to determine the number of parts borax and washing soda in relation to the total parts (2 + 2 + 1 = 5 parts).
The proportion can be set up as follows:
2 parts borax + 2 parts washing soda : 5 parts (total) = x cups borax + washing soda : 7 cups soap flakes
To solve for x, we need to find the unit ratio for the parts:
2 parts of a total of 5 parts = x cups of a total of 7 cups
x = (2/5) * 7
x = 2.8
Therefore, Lenny will need approximately 2.8 cups of borax and washing soda combined.