Solving Proportions

Solving Proportions

By Madison Garchinski

Please write down the steps to solve a ratio.

​Steps:

1. cross multiply. 30x = 120

2. ​Solve for x by dividing by 30.

3. 120/ 30 = 4

4. x = 4​

​

​Lets try another.

Steps:​

1. Cross multiply. 112 = 4x​

2. solve for x by dividing by 4.

3. x = 28​

​

​

Multiple Choice

$$\frac{x}{6}=\ \frac{5}{2}$$  

• x= 15

• x=2.4

• x = 2

• x =3

Multiple Choice

$$\frac{4}{12}\ =\ \frac{x}{12}$$  

• x =2

• x=4

• x=12

• x = 1

Multiple Choice

$$\frac{2}{x}=\ \frac{5}{10}$$  

• x =4

• x=2

• x=10

• x=1

Steps:

1. Cross Multiply.

2. 3(4x) = 60

3. ​Multiply. 12x = 60

4. Divide​ by 12.

5. x = 5​

​

​Solving proportional Equations

Steps:

1. Cross Multiply.

2. 5(15) = 3(4x+5)

3. ​Multiply and distribute 75 = 12x+15

4. Solve the 2 step equations. Subtract 15.

5. 60 = 12x

6. Divide by 12.

7. x = 5​

​

Multiple Choice

$$\frac{2x}{20\ }=\ \frac{2}{4}$$  

• x= 20

• x= 4

• x= 5

• x = 2

Multiple Choice

$$\frac{x+3}{6}\ =\ \frac{3}{2}$$  

• x = 6

• x= 2

• x = 4

• x =18