Ratio Problems

Sharing Ratios

To understand and answer Questions about Sharing Ratios.

Before we start the Questions

Let's understand first what is a Ratio :

A ratio indicates how many times one number contains another. When two quantities are measured with the same unit, as is often the case, their ratio is a dimensionless number.

Example of a Ratio : 1:6:3/2:8/3:4:6:5

Example : Share 80 in the Ratio of 3:4:1

• First we Add them all : 3 + 4 + 1 = 8.

• Then we Divide 80 ÷ 8 = 10.

• then we Multiply each Number by 10 : 3 × 10 =30/4 × 10 =40/ 1 × 10=10.

• Check again by Adding all the Numbers we Multiplied by 10 : 30+40+10 = 80, so the answer is Correct.

Now...

Let's start answering the Questions!

Multiple Choice

Share 15 in the Ratio of 2:1

• 30:15

• 5:10

• 7.5:15 because we Divide 15 by each Number.

• 8:4

• None because the Answer is 10:5

Multiple Choice

Share 180 in the ratio 3:2:1

• 30:90:60

• 90:60:30

• 120:60:30

• 60:30:90

Multiple Choice

Share 30 in the ratio 2:1

• 2:28

• 20:1

• 20:10

• 10:20

The next Question

Will be a question about Ratios

Multiple Choice

What is a Ratio?

(if you remember)

• Is a comparison of two quantities

• To multiply two fractions

• A number over another number

• Two decimals that can be multiplied

Now....

we are gonna solve Real Life Problems !

Multiple Choice

Share 90 Between Sarah, Jim and Anthony in the Ratio of 2:4:3

• divide each number by 90, so the answer is : 45:22.2:30.

• We can't Divide 8 by 90, so the answer is 0.

• 20:40:30 because we multiplied Each number by 10

• The Answer is : Sarah : 30, Jim : 20, Anthony : 40.

Multiple Select

Share 150 between Khaled and Omar in the Ratio of 2:3

• 60:90

• 18:16

• 75:25

• 25:75

Now

Let's solve a 4 number Ratio!

Share 400 in the Ratio of 3:2:4:1

• We do the same thing as before..

• First we Add all the Numbers = 10.

• Then we Divide 400 by 10 = 40.

• Then we Multiply 40 by all the Numbers = 120:80:160:40.

• Check again : 120 + 80 + 160 + 40 which gives us 400, so the answer is Correct!

Multiple Choice

Share 640kg in the Ratio of 3:2:1:3

• 400:140:80:400

• 240:160:80:240

• 9:6:3:9

• 190:80:610:790

Multiple Choice

Share 500 in the Ratio of 9:4:3:4

• 60:20:100:80

• 200:100:70:100 because all the numbers have to have a 0 in them.

• 60:20:100:98

• 225:100:75:100

The Next 3 Questions...

Will be True of False

Multiple Choice

True or False : Share 20 in the Ratio of 2:3 = 8:12

• True

• False

Multiple Choice

True or False : Share 180 in the Ratio of 10:14:6 = 60:84:36.1

• False

• True

Multiple Choice

True or False : Share 400 in the Ratio of 18:7:19:6 = 144:56:152:45

• True

• False

Thank you for Playing!!

Did you learn Anything?