An opera house has two kinds of seats, orchestra and mezzanine. the total amount the opera house made in ticket sales for a show last saturday was $137,000. they sold a total of 1,100 mezzanine tickets at $70 a ticket. they sold 500 orchestra tickets. if t represents the cost of an orchestra ticket, write an equation representing this situation and complete the statement that follows. + t = the opera house sold 500 orchestra tickets at $ per ticket.

Given

An opera house has two kinds of seats, orchestra and mezzanine.

The total amount the opera house made in ticket sales for a show last Saturday was $137,000.

sold a total of 1,100 mezzanine tickets at $70 a ticket and sold 500 orchestra tickets.

If t represents the cost of an orchestra ticket.

Find the equation representing this situation and complete the statement that follows.

and complete the equation , t = The opera house sold 500 orchestra tickets at $ per ticket.

To proof

As given in the question

total amount the opera house made in ticket sales for a show last Saturday  = $137,000.

total of 1,100 mezzanine tickets at $70 a ticket and sold 500 orchestra tickets.

t represents the cost of an orchestra ticket.

Than the equation becomes in the form

1100 × 70  + 500 t = 137000

77000 + 500 t = 137000

500t = 137000 - 77000

500t = 60000

t = $120

$120 =  The opera house sold 500 orchestra tickets at $ per ticket.

Hence proved

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step-by-step explanation:

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if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!