The school that Jaidee goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 10

Question

2 years ago

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The school that Jaidee goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 10

seniors citizen tickets and 11 student for a total of $190. The school took in $160 on the second day by selling 5 senior citizen tickets and 12 student tickets. Find the price of a senior citizen ticket and the price of a student ticket

Mathematics

1 answer:

Olenka [21] · Answer 1 · 2022-02-01T20:13:41+03:00

The price of a senior citizen ticket is $8 and the price of a student ticket is$ 10

Step-by-step explanation:

Let the cost of one seniors citizen ticket be x and student be y

First day:

10 seniors citizen tickets and 11 student for a total of $190.

10x + 11y = 190-----------------------------(1)

Second day:

$160 on the second day by selling 5 senior citizen tickets and 12 student tickets.

5x + 12y = 160---------------------------------(2)

Multiply eq(2) by 2

10x + 24y = 320----------------------------(3)

Subtract eq(1) from (3)

10x + 24y = 320

10x + 11y = 190

-----------------------------

0x + 13 y = 130

---------------------------

13y = 130

$y = \frac{130}{13}$

y = 10-------------------------------(4)

Substituting (4) in (2)

5x + 12(10) = 160

5x + 120 = 160

5x = 160-120

5x = 40

$x = \frac{40}{5}$

x = 8