There are purple, green and black counters in a bag in the ratio 19:20:8There are 72 more green counters than black counters.How many black counters are there?
Question
There are purple, green and black counters in a bag in the ratio 19:20:8There are 72 more green counters than black counters.How many black counters are there?
Solution
Step 1: Understand the ratio
The ratio of purple to green to black counters is 19:20:8. This means for every 19 purple counters, there are 20 green counters and 8 black counters.
Step 2: Understand the difference
The problem states that there are 72 more green counters than black counters.
Step 3: Calculate the ratio difference
The difference in the ratio between green and black counters is 20 - 8 = 12.
Step 4: Calculate the value of each ratio unit
If 12 units in the ratio is equivalent to 72 counters (from the problem statement), then 1 unit in the ratio is equivalent to 72 / 12 = 6 counters.
Step 5: Calculate the number of black counters
Since the ratio for black counters is 8, the number of black counters is 8 * 6 = 48 counters.
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