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Pani-rosa [81]
3 years ago
7

2 Solve the equation for t. Show your work. 5(2t - 3) – 7.5t = 0.5(12 – t) PLEASEEEE HELP ME

Mathematics
1 answer:
dsp733 years ago
6 0

Answer:

t = 7

Step-by-step explanation:

5(2t - 3) – 7.5t = 0.5(12 – t)

5*2t - 3*5 - 7.5t = 12*0.5 - t *0.5

10t - 15 - 7.5t = 6 - 0.5t           {Now, combine like terms}

10t - 7.5t - 15 = 6 - 0.5t

         2.5t -15 = 6 - 0.5t      {Add 15 to both sides}    

         2.5t      = 6 - 0.5t + 15

              2.5t = 21 - 0.5t       { Add 0.5t to both sides}

    2.5t + 0.5t = 21  

                 3t = 21     {Divide both sides by 3}

                   t = 21/3

t = 7

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Each ticket is $15.  The number of tickets is what we are trying to solve for.  The class spends a certain amount of money to prepare for the formal.  They hope that the money they make in ticket sales is MORE than what they spend.  The expression that represents the number of tickets at $15 each is 15x, where x is the number of tickets.  They hope that the sales are greater than what they spend, so what we have so far is

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15x > 600...

but they also have to print a certain, unknown number of tickets at .50 each.  The expression that represents the printing of each ticket is .5x (we can drop the 0; it doesn't change the answer or make it wrong if we drop it off).  So the cost for this affair is the food + the printing.

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Because we are not selling (or printing) .3 of a ticket, it's safe to say (and also correct!) that they need to sell (and print) 41 tickets.  If they sell 41 tickets, the profit is found by

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Hope this helps

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