1. Solve for the variable in the following proportion.

n : 1/2 as 6 : 1 n=

2. Solve for the variable in the following proportion.

1/4 is to 1 1/4 as 2 is to b b=

3. In a group of students, the ratio of girls to boys is 3 to 2.

If there are 15 girls, how many total students are there?

A) 10

B) 20

C) 25

D) 30

4. On a field trip, there are 12 adults and 14 students.

What is the ratio of the number of adults to the total number of people on the field trip?

A) 6 to 13

B) 12 to 14

C) 26 to 12

D) 6 to 7

5. If 2d = 5c, then all of the following are true except _____.

A) 2/5= c/d

B) 5/2= d/c

C) 2/c= 5/d

D) 2/d= c/5

Please help and hurry. I need the answer as soon as possible.

1. Write a proportion by writing each ratio as a fraction and setting the fractions equal. A proportion is an equation where two ratios are equal to each other. Then cross multiply denominator and numerator of each fraction to solve.

[tex]\frac{n}{.5} = \frac{6}{1}\\ 1*n = 0.5*6\\n = 3[/tex]

2. Repeat same process as #1.

3. The ratio of girls to boys is 3:2. There are 15 girls. write a proportion to solve using b as the number of boys.

[tex]\frac{3}{2} = \frac{15}{b}\\ 3*b = 2*15\\3b = 30 \\ b = 10[/tex]

There are 10 boys.

jbiain jbiain · Answer 2 · 2019-12-11T14:12:26+01:00

Answer:

1. n = 3

2. b = 9

3. C) 25

4. A) 6 to 13

5. D) 2/d= c/5

Step-by-step explanation:

1. n is proportional to 1/2 and 6 is proportional to 1, then:

n/6 = (1/2)/1

n = 3

2. 1/4 is proportional to 1 1/4 and 2 is proportional to b, then:

(1/4)/2 = (1 1/4)/b

b = (1 1/4)/[(1/4)/2]

b = 9

3. The next proportion must be satisfied:

(3 girls)/(2 boys) = (15 girls)/(x boys)

x = 15*2/3

x = 10 boys

total students: 15 girls + 10 boys = 25

4. There are 12 adults + 14 students = 26 people in the trip. Then, 12 adults to 26 people, dividing by 2, 12/2 = 6 adults to 26/2 = 13 people

5. Given 2d = 5c

dividing by 5 and by d at both sides: 2/5= c/d

dividing by 2 and by c at both sides: d/c = 5/2

dividing by d and by c at both sides: 2/c = 5/d