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 𝑎, 𝑏, and 𝑐 given that 𝑎𝑏=101 and 𝑏𝑐=21.

  • A2012
  • B1021
  • C1011
  • D2021

Q2:

The ratios 12 : 4 : 8 and 𝑥5𝑦:: are equivalent.

Find 𝑥.

Find 𝑦.

Q3:

Express the ratio 725481 in its simplest form.

  • A823
  • B439
  • C869
  • D968

Q4:

Express the ratio 4.43.38.8 in its simplest form.

  • A438
  • B483
  • C0.40.30.8
  • D0.40.80.3

Q5:

Determine the ratio of the quantities 91129,250kgkgg in its simplest form.

  • A36637
  • B36376
  • C181853
  • D183185

Q6:

If 𝑎=38𝑏 and 𝑏=87𝑐, then express the ratio 𝑎𝑏𝑐 in its simplest numeric form.

  • A562124
  • B215664
  • C387
  • D642421

Q7:

Complete the following putting the ratio in its simplest form: 251458=25.

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

Q8:

Three factories manufacture identical products in the ratio 13615. 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 =6,006, second factory =2,772, third factory =6,930
  • BFirst factory =6,106, second factory =2,872, third factory =7,030
  • CFirst factory =429, second factory =264, third factory =660
  • DFirst factory =353, second factory =163, third factory =407

Q9:

Some money is shared between Jennifer, Michael and Daniel in the ratio 16315. 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 1427. 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

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