College

There are 200 counters in a bag.

- 38 counters are red.
- 52 counters are blue.
- The rest of the counters are yellow or green.
- There are the same number of yellow counters as green counters.

What percentage of the counters in the bag are yellow?

Answer :

Answer:

27.5%

Step-by-step explanation:

You want the percentage of counters in a bag of 200 that are yellow if there are as many yellow as green, and there are 38 red and 52 blue counters.

Yellow

The number of yellow counters is half the number that are not red or blue:

[tex]\text{yellow = $\dfrac{1}{2}$(total - red - blue)}\\\\\text{yellow}=\dfrac{200-38-52}{2}=100-19-26=55[/tex]

The percentage that 55 counters is of 200 is found by ...

[tex]\%=\dfrac{55}{200}\times100\%=27.5\%[/tex]

27.5% of the counters in the bag are yellow.