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Claudia school is selling tickets to a spring musical. On the first day of tickets sales the school sold 3 senior citizen tickets and 9 child tickets for a total of 75$ The school took in 67 on second day by selling 8 senior citizen tickets and 5 child tickets.what price each of one senior citizens ticket and one child ticket

User Mikolaj Semeniuk
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1 Answer

9 votes
9 votes

Answer:

One senior citizen ticket costs 4 dollars and one child ticket costs 7 dollars

Explanation:

Let x be the cost of a senior ticket and y be the cost of a child ticket then...

3x+9y=75

8x+5y=67

We can simplify the first equation by dividing everything by 3...

x+3y=25

Now, isolate x by subtracting 3y from both sides

x=25-3y

We can solve this system of equations using substitution (substitute 25-3y for x)...

8(25-3y)+5y=67

200-24y+5y=67

Combine like terms

-19y+200=67

Subtract 200 from both sides

-19y=-133

Divide both sides by -19

y=7

Plug 7 back in for y to solve for x

x=25-3(7)=25-21=4

One senior citizens ticket costs 4 dollars and one child ticket costs 7 dollars.

User Hobo
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