The ratio of the number of mints in Jar A to that in Jar B was 8 : 5. After 1/4 of the mints in Jar A were sold, there were 120 mints in Jar A than Jar B. How many mints were there in Jar B?
To find the number of mints in Jar B, we first need to determine the number of mints in Jar A. Let's break down the information given step by step:
1) The ratio of the number of mints in Jar A to Jar B is 8:5. This means that for every 8 mints in Jar A, there will be 5 mints in Jar B.
2) After 1/4 of the mints in Jar A were sold, there were 120 more mints in Jar A than Jar B.
Let's assume that initially, there were 8x mints in Jar A and 5x mints in Jar B.
After 1/4 of the mints in Jar A were sold, there would be 3/4 of the initial number of mints left in Jar A. Therefore, there would be (3/4) * 8x = 6x mints in Jar A.
According to the information, the number of mints in Jar A was 120 more than in Jar B. So, we can set up the equation:
6x = 5x + 120
By subtracting 5x from both sides of the equation, we get:
6x - 5x = 120
Simplifying this equation:
x = 120
Now that we know the value of x, we can calculate the number of mints in Jar B:
Number of mints in Jar B = 5x = 5 * 120 = 600
Therefore, there were 600 mints in Jar B.