Question

1. Solve for the variable in the following proportion.

Answer 1

Answer:

1. 3

3. 10

Step-by-step explanation:

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.

$\frac{n}{.5} = \frac{6}{1}\\ 1*n = 0.5*6\\n = 3$

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.

$\frac{3}{2} = \frac{15}{b}\\ 3*b = 2*15\\3b = 30 \\ b = 10$

There are 10 boys.

Answer 2

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