# Lesson Worksheet: Ratio Among Three Numbers Mathematics

In this worksheet, we will practice simplifying and using the ratio between three numbers to solve problems.

Q1:

Determine the ratio between the three numbers , , and given that and .

• A
• B
• C
• D

Q2:

The ratios 12 : 4 : 8 and are equivalent.

Find .

Find .

Q3:

Express the ratio in its simplest form.

• A
• B
• C
• D

Q4:

Express the ratio in its simplest form.

• A
• B
• C
• D

Q5:

Determine the ratio of the quantities in its simplest form.

• A
• B
• C
• D

Q6:

If and , then express the ratio in its simplest numeric form.

• A
• B
• C
• D

Q7:

Complete the following putting the ratio in its simplest form: .

• A16, 25
• B50, 125
• C50, 25
• D16, 10

Q8:

Three factories manufacture identical products in the ratio . The third factory makes 924 more products than the first factory in one month. How many products does each factory make that month?

• AFirst factory , second factory , third factory
• BFirst factory , second factory , third factory
• CFirst factory , second factory , third factory
• DFirst factory , second factory , third factory

Q9:

Some money is shared between Jennifer, Michael and Daniel in the ratio . Jennifer’s share exceeds Daniel’s share by 875 LE. How much money do each of them receive?

• AJennifer = 14,100 LE, Michael = 2,725 LE, Daniel = 13,225 LE
• BJennifer = 451 LE, Michael = 145 LE, Daniel = 729 LE
• CJennifer = 14,000 LE, Michael = 2,625 LE, Daniel = 13,125 LE
• DJennifer = 411 LE, Michael = 77 LE, Daniel = 386 LE

Q10:

The weights of three containers are in the ratio . The weight of the second container is 58 kg. Calculate the weights of the first and third containers.

• Afirst weight = 79 kg, third weight = 74 kg
• Bfirst weight = 116 kg, third weight = 16 kg
• Cfirst weight = 406 kg, third weight = 203 kg
• Dfirst weight = 29 kg, third weight = 8 kg