Question

Kirigami is the Japanese art of making paper designs by folding and cutting paper. A student sells small and large greeting cards decorated with kirigami at a craft fair. The small cards cost $3 per card, and the large cards cost $5 per card. The student collects $95 for selling a total of 25 cards. How many of each type of card did the student sell?

Answer 1

Let's use a system of equations to solve the problem.

Let x be the number of small cards sold, and y be the number of large cards sold.

From the problem, we know that:

x + y = 25 (the total number of cards sold is 25)
3x + 5y = 95 (the total amount collected is $95)

We can use the first equation to solve for x in terms of y:

x = 25 - y

Substituting this into the second equation, we get:

3(25 - y) + 5y = 95

Simplifying and solving for y, we get:

75 - 3y + 5y = 95
2y = 20
y = 10

So the student sold 10 large cards.

Substituting this into x + y = 25, we get:

x + 10 = 25
x = 15

So the student sold 15 small cards.

Therefore, the student sold 15 small cards and 10 large cards.