1. Darius is selling tickets to a play. On the first day of ticket sales, he sold 12 senior citizen tickets and 8 adult tickets for a total of $264. Darius took in $117 on the second day by selling 6 senior citizen tickets and 3 adult tickets.
What is the price of an adult ticket?
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2. Tree pruning company A charges a one-time $85 equipment fee and charges $60 for each tree that it prunes. Tree pruning company B charges a one-time $65 equipment fee and charges $70 for each tree that it prunes.
Let the variable t represent the number of trees pruned and let the variable c represent the cost.
For how many pruned trees will the cost be the same for both companies?
Which system of equations can be used to solve this problem?
{c=85+60tc=65+70t
left curly bracket. First line. c equals 85 plus 60 t. Second line. c equals 65 plus 70 t
{c=85t+60c=65t+70
{c=145tc=135t
{c=85−60tc=65−70t
3. Maurice has 180 ft of rope. He cuts it into two pieces so that the length of the longer piece is 5 times the length of the shorter piece.
What is the length of the longer piece?
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4. Margaret has only dimes and quarters in her purse. She has 39 coins with a total value of $6.45.
How many dimes does Margaret have in her purse?
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5. Darius is selling tickets to a play. On the first day of ticket sales, he sold 12 senior citizen tickets and 8 adult tickets for a total of $264. Darius took in $117 on the second day by selling 6 senior citizen tickets and 3 adult tickets.
What is the price of an adult ticket?
Enter your answer in the box.
