Mateo’s school is selling tickets to the spring musical. On the first day of ticket sales the school sold 30 adult tickets and 90 children’s tickets for $750.00. The school made $670.00 on the second day by selling 80 adult tickets and 50 children tickets. What is the price of one adult ticket and one children ticket?

Kids: 6.25

Adults: Also 6.25

Step-by-step explanation:

So I focused on the first day more. I noticed that 1/4 of the people who attended were kids, and that leaves it with 3/4 people which were adults.

25% (or 1/4) of 750 is 187.5

So 75% of 750 is 562.5

187.5+562.5=750 so we are on the right path

If the ticket for kids totaled 187.5 and 30 students got it, then the price for the ticket is 187.5/30=x and x equals 6.25

If the ticket for adults totaled 562.5 and 90 people got it, then the price is 562.5/90=y and y equals 6.25.

Checking if i'm correct:

6.25*30=187.5

6.25*90=562.5

187.5+562.5= 750

i probably didnt make it as clear im only in 7th grade, but hopefully this was the answer you were looking for