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
0.8 cup
0.8 cup
18.0 cups
18.0 cups
0.4 cup
0.4 cup
To find out how many cups of almonds Luis will need, we can set up a proportion using the given ratio of almonds to chocolate chips.
Let x represent the number of cups of almonds Luis will need.
We have the proportion:
18/34 = x/3
To solve for x, we can cross-multiply and then divide:
18 * 3 = 34 * x
54 = 34x
x = 54/34
Rounded to the nearest tenth, Luis will need approximately 1.6 cups of almonds.
Therefore, the correct response is:
0.8 cup.
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
7 cups
7 cups
21 cups
21 cups
14 cups
14 cups
28 cups
According to the recipe, Lenny needs 2 parts borax, 2 parts washing soda, and 1 part soap flakes.
Let's calculate the amount of borax and washing soda he needs:
Since Lenny is using 7 cups of soap flakes, he will need:
2 parts of borax: 2 * 7 = 14 cups of borax
2 parts of washing soda: 2 * 7 = 14 cups of washing soda
Therefore, Lenny will need a total of 14 cups of borax and washing soda combined.
The correct response is:
14 cups.
Lisa adds 2 tsp baking soda to 6 lbs. of flour. How much baking soda should she add to 9 lbs. of flour?(1 point)
Responses
18 tsp
18 tsp
3 tsp
3 tsp
9 tsp
9 tsp
27 tsp
To solve this problem, we can set up a proportion using the given ratio of baking soda to flour.
Let x represent the amount of baking soda Lisa should add to 9 lbs. of flour.
We have the proportion:
2 tsp / 6 lbs. = x tsp / 9 lbs.
To solve for x, we can cross-multiply and then divide:
2 * 9 = 6 * x
18 = 6x
x = 18/6
Therefore, Lisa should add 3 tsp of baking soda to 9 lbs. of flour.
The correct response is:
3 tsp.
To find out how many cups of almonds Luis needs, we can use a proportion based on the ratio of almonds to chocolate chips.
The given ratio is 18 cups of almonds : 34 cups of chocolate chips.
We can set up a proportion using this 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:
18 cups of almonds * 3 cups of chocolate chips = 34 cups of chocolate chips * x cups of almonds
54 cups of almonds = 34 cups of chocolate chips * x cups of almonds
Dividing both sides by 34 cups of chocolate chips gives us:
x cups of almonds = 54 cups of almonds / 34 cups of chocolate chips
Simplifying this gives us:
x cups of almonds ≈ 1.588 cups of almonds
Rounding to the nearest tenth, Luis will need approximately 1.6 cups of almonds.