Sarawongs school is selling tickets to the anual talent show on the first day of ticket sales the school sold 1 adult ticket and

Question

2 years ago

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Sarawongs school is selling tickets to the anual talent show on the first day of ticket sales the school sold 1 adult ticket and

2 student for total of $27 the school took in $36 on the second day by selling 2 adult tickets and 2 student tickets what is the price each of one adult ticket and one student ticket

Mathematics

1 answer:

vaieri [72.5K] · Answer 1 · 2022-05-09T10:04:59+03:00

Price of one adult ticket is $9 and price of one student ticket is also $9.

Step-by-step explanation:

Let,

Adult ticket = x

Student ticket = y

According to given statement;

x+2y=27 Eqn 1

2x+2y=36 Eqn 2

Subtracting Eqn 1 from Eqn 2;

$(2x+2y)-(x+2y)=36-27\\2x+2y-x-2y=9\\x=9$

Putting x=9 in Eqn 1;

$9+2y=27\\2y=27-9\\2y=18$

Dividing both sides by 2;

$\frac{2y}{2}=\frac{18}{2}\\y=9$

Price of one adult ticket is $9 and price of one student ticket is also $9.

Keywords: linear equations, subtraction

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