A bag contains colored marbles. The ratio of red marbles to blue marbles is 1 : 4. The ratio of blue marbles to yellow marbles is 2 : 5. What is the ratio of red marbles to yellow marbles?

Respuesta :

Answer:

The ratio of red marbles to yellow marbles will be: 2 : 20 or 1 : 10

Step-by-step explanation:

As from the information

  • The ratio of red marbles to blue marbles is 1 : 4.
  • The ratio of blue marbles to yellow marbles is 2 : 5.

Multiply the ratio of red to blue marbles with 2.

1 : 4 = 1 × 2 : 4 × 2 = 2 : 8

Multiply the ratio of blue marbles to yellow marbles with 4.

2 : 5 = 2 × 4 : 5 × 4 = 8 : 20

Now the ratio of red : blue : yellow marbles will be:

2 : 8 : 20

Therefore, the ratio of red marbles to yellow marbles will be:

2 : 20 or 1 : 10

Keywords: ratio, fraction

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