Question

Total 35 tickets were sold on the first day of circus show if the rate of ticket were rs 20 and rs 40 respectively total rs900 were collected how many tickets were sold of rs20 and rs 40 ​

Answer 1

$\huge{\blue{\bold{\underline{\underline{Answer :}}}}}$

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$\large{\green{\underline \bold{\tt{Given :-}}}}$

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• Total tickets sold = 35

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• Rate of tickets are Rs 20 & Rs 40

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• Total money collected = Rs 900

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$\large{\red{\underline \bold{\tt{To \: Find :-}}}}$

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• Number of Rs 20 & Rs 40 tickets sold

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$\large{\orange{\underline{\tt{Solution :-}}}}$

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• Let the number of Rs 20 tickets be "x"

• Let the number of Rs 40 tickets be "y"

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$\purple{\underline \bold{According \: to \: the \ question :}}$

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⟬ Total tickets sold is 35 ⟭

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➟ x + y = 35

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➜ x = 35 - y -------- (1)

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⟬ Also, given that total money collected by selling tickets is Rs 900 ⟭

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So,

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➟ 20x + 40y = 900

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Dividing the above equation by "20"

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➜ x + 2y = 45 --------- (2)

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$\underline{\bold{\texttt{Putting the value of "x" from (1) to (2) }}}$

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➜ x + 2y = 45

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➜ 35 - y + 2y = 45

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➜ 35 + y = 45

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➜ y = 45 - 35

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➨ y = 10 --------- (3)

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• Number of Rs 40 tickets sold is 10

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$\underline{\bold{\texttt{Putting y = 10 in (1) }}}$

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➜ x = 35 - y

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➜ x = 35 - 10

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➨ x = 25

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• Hence number of Rs 20 tickets sold is 25

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Therefore number if Rs 20 & Rs 40 tickets sold are 25 & 10 respectively