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46. PROBLEM SOLVING An online ticket agency charges
the amounts shown for basketball tickets. The total
cost for an order is $220.70. How many tickets
are purchased?
Amount
Charge
Ticket price
Convenience charge
Processing charge
$32.50 per ticket
ticket
$3.30 per
$5.90 per order
Write the equation plz!!!!


Sagot :

The number of tickets purchased is 6

Let t represent the total amount of tickets bought

Total tickets bought = $32.50 x t = $32.50t

Total convenience charge = $3.30 x t = $3.30t

Total processing charge = $5.90

Total cost of purchasing t tickets =  $32.50t +  $3.30t + $5.90

= $35.80t + $5.90

$220.70 = $35.80t + $5.90

combine similar terms

$220.70 -  $5.90 = $35.80t

214.80 = $35.80t

Divide both sides of the equation by t

t = 6 tickets

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