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

To solve this problem, let's break it down step by step:

1. Let's assume the number of friends Clark is giving the cards is "x".
2. If Clark gives 6 cards to each of his friends, he will have left. This means that the number of cards he has left is a multiple of 6. Therefore, we can say that the number of cards he has left is 6 multiplied by some number, let's call it "m". So, the number of cards he has left is 6m.
3. If Clark gives 8 cards to each of his 5 card friends, he will need 7 more cards. This means that the number of cards he needs is a multiple of 8. However, he will also need 7 more cards, so the total number of cards he needs is 8 multiplied by some number, let's call it "n", plus 7. So, the number of cards he needs is 8n + 7.
4. We can now set up two equations to represent the given information:
a) Number of cards he has left = 6m
b) Number of cards he needs = 8n + 7
5. Since both equations represent the same number of cards, we can set them equal to each other and solve for "x" by eliminating the "m" and "n" variables:
6m = 8n + 7
6. Now we need to find a suitable value for "m" and "n" that satisfy the equation. We can start by trying different values and checking if they give integer solutions. By trial and error, we find that when m = 5 and n = 3, the equation is satisfied:
6(5) = 8(3) + 7
30 = 24 + 7
30 = 31 (not satisfied)
7. Since our trial values did not satisfy the equation, there is no exact solution for the equation.
8. However, the equation tells us that the number of cards he has left (6m) is less than the number of cards he needs (8n + 7).
9. Since he needs more cards than he has left, we can conclude that he must be giving the cards to more friends than 5, as stated in the problem.
10. Therefore, the number of friends Clark is giving the cards is greater than 5. We cannot determine the exact number of friends based on the given information.

Have ? Left.

10

Jack had many extra hockey cards, so he decided to give the extras equally to his 6 friends. If he gave away 48 cards, how many cards did each friend get?

hflicrberiauferug

Question is really poorly converted. Answer is 6; Set it up as (6*x) + 5 & (8*x) - 7; When you plug in 1,2,3,4,5,6... for X, you'll see that for both when x =6, you'll get 41;