Question

A tub contains red, green and blue counters. There are 20 more red counters than blue counters and one-third of the counters are green. If there are 60 green counters what is the probability of picking a red counter?​

Answer 1

7/18

Explanation:

If 1/3 of the counters are green that means that 60 counters are 1/3 of the total number of counters. We can multiply 60 by 3 to find the total number (3/3) of counters: 60 × 3 = 180

Next, we can find out how many counters are blue and green by subtracting 60 from 180: 180 - 60 = 120

If there are 20 more red counters than blue counters, we can write this algebraically as x + (x + 20) = 120. x + 20 is the number of red counters and x is the number of blue counters

To find x, simplify the equation:

2x + 20 = 120

2x = 100

x = 50

There are fifty blue counters, therefore there are 70 red counters. The probability of picking a red counter is 70/180 or 7/18.

Hope this helps!