It would help if you proofread your questions before you posted them. What about the other 22 cards? I will assume you mean "one type of card."
Let x = one type of card, y = the other type.
x + y = 24 or y = 24-x
x + 5y = 50
Substitute 24-x for y in second equation and solve for x. Insert that value into the first equation and solve for y. Check by inserting both values into the second equation.
If you bought 24 cards for $50, one card is $1 each and he other card is $5. Write an equation and solve.
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