MATH SOLVE

2 months ago

Q:
# The manager of music is giving away 255 music downloads at its grand opening event.If the manger gives the greatest possible number of music downloads to each of the first 75 customers, how many people will receive 1 music download each?

Accepted Solution

A:

30 people will receive 1 music download each.
Solution:
Given, the manager of music is giving away 255 music downloads at its grand opening event.
The manger gave the greatest possible number of music downloads to each of the first 75 customers,
Now, suppose, manager gave 4 downloads each for first 75 customers.
Then, total downloads = 75 x 4 = 300 downloads, which is greater than 255, so giving 4 to 1st 75 is not possible.
Now, suppose, he gave 3 to each customer, then total downloads = 75 x 3 = 225, it is possible
So, manager will give 3 downloads each to 1st 75 customers. Then remaining downloads = 255 – 225 = 30 downloads, then 30 people can use them.
Hence, 30 people will receive 1 music download each.