There are black and purple counters in a bag in the ratio 13:14There are 20 more purple counters than black counters.How many black counters are there?
Question
There are black and purple counters in a bag in the ratio 13:14There are 20 more purple counters than black counters.How many black counters are there?
Solution
Let's solve this step by step:
-
We know that the ratio of black to purple counters is 13:14. This means for every 13 black counters, there are 14 purple counters.
-
We also know that there are 20 more purple counters than black counters.
-
If we subtract 13 from 14 (the ratio numbers), we get 1. This means that 1 in the ratio is equivalent to 20 counters (the difference between the number of purple and black counters).
-
To find the number of black counters, we multiply the black ratio number (13) by the value of 1 in the ratio (20).
-
So, 13 * 20 = 260.
Therefore, there are 260 black counters.
Similar Questions
There are blue and purple counters in a bag in the ratio 13:17There are 80 more purple counters than blue counters.How many blue counters are there? counters
There are yellow and purple counters in a bag in the ratio 19:15There are 32 more yellow counters than purple counters.How many yellow counters are there?
There are black and yellow counters in a bag in the ratio 12:11There are 22 yellow counters.How many black counters are there?
There are black, green and blue counters in a bag in the ratio 5:12:6There are 5 more blue counters than black counters.How many blue counters are there?
There are blue, yellow and white counters in a bag in the ratio 15:4:6There are 27 more blue counters than white counters.How many yellow counters are there?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.