Kirra’s cinema club membership gives her 3 free cinema tickets every month.One monthshe goes to the cinema 5 times in totalshe is charged $24 for the extra tickets at the end of the month.Kirra writes this as the equation 5𝑥 = 3𝑥 + 24, where 𝑥 is the price of a ticket.A few months later, the price of a ticket increases by $2.Which equation can be solved to give the new price of a ticket, y?A. 5y = 3y + 10B. 5y = 3y + 18C. 5y = 3y + 26D. 5y = 3y + 28E. 5y = 3y + 34
Question
Kirra’s cinema club membership gives her 3 free cinema tickets every month.One monthshe goes to the cinema 5 times in totalshe is charged 2.Which equation can be solved to give the new price of a ticket, y?A. 5y = 3y + 10B. 5y = 3y + 18C. 5y = 3y + 26D. 5y = 3y + 28E. 5y = 3y + 34
Solution
The original equation is 5x = 3x + 24, which represents the total cost of 5 tickets, where 3 of them are free and the remaining 2 are charged. The $24 is the cost of the 2 extra tickets.
When the price of a ticket increases by 2, the total increase for 2 tickets will be 2 * 4.
So, the new cost for the 2 extra tickets will be 4 (increase) = $28.
Therefore, the new equation that can be solved to give the new price of a ticket, y, is:
5y = 3y + 28
So, the correct answer is D. 5y = 3y + 28.
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