tickets to the concert went on sale today. adult tickets were $5 and student tickets cost $3. in all 90 tickets were sold for a total of $334. how many adult tickets were sold?

Answer 1

Hello~

I will say the number of adult tickets = x, and the number of student tickets = y.

Since there were 90 tickets, x + y = 90

5 * x => total cost of adult tickets, 3 * y => total cost of student tickets

5x + 3y = 334

Now, we have x + y = 90 & 5x + 3y = 334

We can use either the substitution method or the elimination method.

Let's use elimination.

I will multiply (-3) to x + y = 90

-3x - 3y = -270

5x + 3y = 334 We add them !

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2x = 64

x = 32

Hence, 32 adult tickets were sold !