Question

The total receipts for a basketball game is for rs 1400 for 788 tickets sold. Adults pay rs 2.50 and students pay rate 1.25 how many tickets of each kind were sold

Answer 1

$\textbf{Answer}$

$\textbf{Lets suppose that,}$
Total tickets sold to adults = x
&
Total tickets sold to students = y

$\textbf{Since,}$
Adults pay Rupees 2.50 per ticket,
&
Students pay Rupees 1.25 per ticket

=> Total money paid by adults and students will be equal to $\textbf{2.5x + 1.25y}$

$\textbf{Its given that total}$
Total receipt is for Rupees 1400.

=> 2.5x + 1.25y = 1400 -----(1)

Total tickets sold = 788
Tickets sold to adults = x
=> Tickets sold to students = (788 - x)
=> y = (788 - x)

$\textbf{Substitute value of y in equation(1),}$

=> 2.5x + 1.25(788 - x) = 1400

=> 2.5x - 1.25x + 985 = 1400

=> 1.25x = 415

=> x = 415÷ (1.25)

=> $\textbf{x = 332}$

=> y = 788 - x = 788 - 332 = 456

=> $\textbf{y = 456}$

$\textbf{Total tickets sold to adults=332}$
$\textbf{Total tickets sold to students=456}$

$\textbf{Hope My Answer Helped}$
$\textbf{Thanks}$

Answer 2

Lets suppose that, 
Total tickets sold to adults = x
&
Total tickets sold to students = y

\textbf{Since,}Since, 
Adults pay Rupees 2.50 per ticket,
&
Students pay Rupees 1.25 per ticket

=> Total money paid by adults and students will be equal to \textbf{2.5x + 1.25y}2.5x + 1.25y 

\textbf{Its given that total}Its given that total 
Total receipt is for Rupees 1400.

=> 2.5x + 1.25y = 1400 -----(1)

Total tickets sold = 788
Tickets sold to adults = x
=> Tickets sold to students = (788 - x)
=> y = (788 - x)

\textbf{Substitute value of y in equation(1),}Substitute value of y in equation(1),

=> 2.5x + 1.25(788 - x) = 1400

=> 2.5x - 1.25x + 985 = 1400

=> 1.25x = 415

=> x = 415÷ (1.25)

=> \textbf{x = 332}x = 332 

=> y = 788 - x = 788 - 332 = 456

=> \textbf{y = 456}y = 456 

\textbf{Total tickets sold to adults=332}Total tickets sold to adults=332 
\textbf{Total tickets sold to students=456}Total tickets sold to students=456