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There are a total of 120 counters in a box.
There are only red counters and blue counters in the box.
There are three times as many red counters as blue counters in the box.

Carl takes \(\frac{1}{3}\) of the red counters from the box.
Kerry takes 80% of the blue counters from the box.

Work out the ratio of the number of red counters to the number of blue counters now in the box.
Give your ratio in its simplest form.

Answer :

Answer:

The ratio of red to blue would be 60: 6 which can be simplified to 10:1.

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Rewritten by : Barada

The ratio of red to blue counters would be 60: 6 which can be simplified to 10:1

What is ratio ?

Ratio is the comparison of two quantities in terms of same units.

Example : If a & b be two numbers, then the ratio is a/b, where b≠0

What is the required ratio ?

Let Blue counters = x

Red counters would be = 3 times of blue counters = 3x

There are a total of 120 counters in a box.

First we have to find, the number of red and the number of blue counters:

3x + x = 120

⇒ 4x = 120

⇒ x = 120/4

⇒ x = 30

There are 30 blue counters.

Red counters = 3×30 = 90

Carl took 1/3 of the red, 90 / 3 = 30, so there were 60 red counters left in the box.

Kerry took 80% of the blue, 30 * 0.80 = 24, so there were 6 blue counters left in the box.

The ratio of red to blue counters would be 60: 6 which can be simplified to 10:1.

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