Clark wants to give some baseball cards to his friends. If he gives 6 cards to each of his friends,

[math_celebrity]

Clark wants to give some baseball cards to his friends. If he gives 6 cards to each of his friends, he will have 5 cards left. If he gives 8 cards to each of his friends, he will need 7 more cards. How many friends is the giving the cards to?

Let the number of friends Clark gives his cards to be f. Let the total amount of cards he gives out be n. We're given 2 equations:

1. 6f + 5 = n
2. 8f - 7 = n

Since both equations equal n, we set these equations equal to each other
6f + 5 = 8f - 7

To solve for f, we type this equation into our search engine and we get:
f = 6

To check our work, we plug in f = 6 into each equation:

1. 6(6) + 5 = 36 + 5 = 41
2. 8(6) - 7 = 48 - 7 = 41

So this checks out. Clark has 41 total cards which he gives to 6 friends.