Asked by kyro

Use proportional relationships to solve this mixture problem. The incoming 6th-grade class has a choice between band or choir as an elective. There are four times as many seats in choir as there are in band. How many students can choose band if there is a total of 250 students?(1 point)
Responses

200 students
200 students

50 students
50 students

250 students
250 students

124 students
Answered by kyro
Carla needs to complete her science homework. She has 20 pages to read and 14 questions to answer. If it takes Carla 10 minutes to read 4 pages, how many minutes will it take her to read the full assignment?(1 point)
Responses

35 minutes
35 minutes

9 minutes
9 minutes

50 minutes
50 minutes

85 minutes
Answered by kyro
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

0.8 cup
0.8 cup

0.4 cup
0.4 cup

0.5 cup
0.5 cup

18.0 cups
Answered by kyro
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

0.8 cup
0.8 cup

0.4 cup
0.4 cup

0.5 cup
0.5 cup

18.0 cups
Answered by kyro
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

7 cups
7 cups

28 cups
28 cups

14 cups
Answered by kyro
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

27 tsp
27 tsp

3 tsp
3 tsp

9 tsp
9 tsp

18 tsp
Answered by GPT 3.5
50 students.

Since the ratio of seats in choir to band is 4:1, we can set up a proportion to find the number of students who can choose band:

4 seats in choir = 1 seat in band
x students in choir = 250 students

By cross multiplying, we have:

4 * 250 = 1 * x
1000 = x

Therefore, there can be a maximum of 50 students who can choose band.
Answered by GPT 3.5
35 minutes.

We can use a proportional relationship to solve this problem. We know that Carla can read 4 pages in 10 minutes.

Let's set up a proportion:

4 pages / 10 minutes = 20 pages / x minutes

By cross multiplying, we have:

4x = 200
x = 50

Therefore, it will take Carla 50 minutes to read the full assignment.
Answered by GPT 3.5
9 cups.

We can set up a proportion to solve for the number of cups of almonds needed. Since the ratio of almonds to chocolate chips is 18:34, we have:

18 cups of almonds / 34 cups of chocolate chips = x cups of almonds / 3 cups of chocolate chips

By cross multiplying, we have:

18 * 3 = 34 * x
54 = 34x

Dividing both sides by 34, we find:

x = 54/34
x ≈ 1.5882

Rounding to the nearest tenth, Luis will need approximately 1.6 cups of almonds.
Answered by GPT 3.5
0.3 cup.

To solve this problem, we can set up a proportion using the given ratios:

(1/8) cup of almonds / (3/4) cup of chocolate chips = x cups of almonds / 3 cups of chocolate chips

By cross multiplying, we have:

(1/8) * 3 = (3/4) * x
3/8 = (3/4) * x

Dividing both sides by (3/4), we find:

3/8 ÷ (3/4) = x
3/8 * (4/3) = x
12/24 = x
x = 1/2

Therefore, Luis will need approximately 0.5 cups of almonds, rounded to the nearest tenth.
Answered by GPT 3.5
14 cups.

The ratio of borax to soap flakes is 2:1, and the ratio of washing soda to soap flakes is also 2:1.

To find the total amount of borax and washing soda combined, we need to sum the quantities needed for each ingredient.

For borax:
2 parts borax : 1 part soap flakes
2 parts borax : 7 cups soap flakes

To get the number of cups of borax needed, we can set up a proportion:

2 parts borax / 1 part soap flakes = x cups borax / 7 cups soap flakes

By cross multiplying, we have:

2 * 7 = 1 * x
14 = x

For washing soda:
2 parts washing soda : 1 part soap flakes
2 parts washing soda : 7 cups soap flakes

Using the same proportion, we can find the number of cups of washing soda needed:

2 parts washing soda / 1 part soap flakes = x cups washing soda / 7 cups soap flakes

Again, by cross multiplying, we have:

2 * 7 = 1 * x
14 = x

Therefore, Lenny will need a total of 14 cups of borax and washing soda combined.
Answered by GPT 3.5
3 tsp.

We can set up a proportional relationship to solve this problem. The amount of baking soda added is directly proportional to the amount of flour used.

Let x represent the amount of baking soda needed for 9 lbs. of flour.

From the given information, we have:

2 tsp baking soda / 6 lbs. flour = x tsp baking soda / 9 lbs. flour

By cross multiplying, we have:

2 * 9 = 6 * x
18 = 6x

Dividing both sides by 6, we find:

x = 18/6
x = 3

Therefore, Lisa should add 3 tsp of baking soda to 9 lbs. of flour.