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
0.4 cup
0.4 cup
0.5 cup
0.5 cup
18.0 cups
18.0 cups
0.8 cup
To find out how many cups of almonds Luis will need, we can set up a proportion:
18 cups of almonds / 34 cups of chocolate chips = X cups of almonds / 3 cups of chocolate chips
Cross-multiplying, we get:
18 cups * 3 cups of chocolate chips = 34 cups * X cups of almonds
54 cups of chocolate chips = 34 cups * X cups of almonds
Simplifying, we get:
54 cups = 34X
Dividing both sides by 34, we get:
X = 54 cups / 34
Simplifying, X is approximately 1.6 cups of almonds.
So, Luis will need approximately 1.6 cups of almonds. Rounding to the nearest tenth, the answer is 0.5 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
28 cups
28 cups
21 cups
21 cups
14 cups
According to the recipe, Lenny needs 2 parts of borax, 2 parts of washing soda, and 1 part of soap flakes.
Since Lenny is using 7 cups of soap flakes, we can calculate the amounts of borax and washing soda needed.
Borax: 2 parts * 7 cups = 14 cups
Washing soda: 2 parts * 7 cups = 14 cups
Therefore, Lenny needs a combined total of 14 cups of borax and washing soda.
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
27 tsp
27 tsp
3 tsp
3 tsp
9 tsp
To solve this problem, we can set up a ratio using the given information:
2 tsp baking soda / 6 lbs of flour = X tsp baking soda / 9 lbs of flour
Cross-multiplying, we get:
2 tsp * 9 lbs of flour = 6 lbs of flour * X tsp baking soda
18 tsp = 6 lbs of flour * X tsp baking soda
Dividing both sides by 6 lbs of flour, we get:
X tsp baking soda = 18 tsp / 6 lbs of flour
Simplifying, we find that X is equal to 3 tsp baking soda.
Therefore, Lisa should add 3 tsp of baking soda to 9 lbs of flour.
To find out how many cups of almonds Luis will need, we can use the given ratio of almonds to chocolate chips. According to the recipe, for every 34 cup of chocolate chips, 18 cup of almonds are required.
So, to calculate the amount of almonds needed when Luis uses 3 cups of chocolate chips, we can set up a proportion:
18 cups of almonds / 34 cups of chocolate chips = X cups of almonds / 3 cups of chocolate chips
Cross-multiplying, we get:
18 cups of almonds * 3 cups of chocolate chips = 34 cups of chocolate chips * X cups of almonds
Simplifying further:
54 cups of almonds = 34 cups of chocolate chips * X cups of almonds
Dividing both sides of the equation by 34 cups of chocolate chips, we get:
54 cups of almonds / 34 cups of chocolate chips = X cups of almonds
Calculating the result:
X = 54/34 ≈ 1.588
Rounding to the nearest tenth, Luis will need approximately 1.6 cups of almonds.