Five friends all go to the movies. Three use a "$5 off" coupon to buy their tickets, but two pay full price. If the total charge for the group comes to $52.50, what was the price for an un-discounted ticket?
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Question 3
3.
If rate is defined as "progress over time", or "distance over time", then we can write the equation
Solve this equation for t.
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Question 4
4.
Six friends each use a $2-off coupon to buy DLC for their favorite multiplayer video game. Together, they spend a total of $42. Let d be the price of a single DLC without the coupon. Write an equation that expresses d as a calculation using the following quantitiative parts of the scenario:
6 friends
$42 total
-$2 per coupon
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Question 5
5.
The sum of three consecutive odd integers is -51. What is the least of the summands?
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Question 6
6.
A water filtration system for a koi pond needs to be emptied, cleaned, and refilled with new filtration media. According to the manual, it should be filled with 50 lb of a 20% sand / 80% diatomaceous earth mixture. But the store only sells 50% / 50% and 10% / 90% mixtures of sand / diatomaceous earth. Each of these mixtures is sold by the pound, so you can buy as much or as little as you need. Let f be the number of pounds of the 50% / 50% mixture. Which of the following equations matches the scenario?
1 point
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Question 7
7.
Solve the equation to find the value of x.
1 point
1
Question 8
8.
Mr. Schneider drives 27 miles from his house to the Pier school. First he drives 8 miles at an average speed of 24 mph to get to the coffee shop. It takes exactly 5 minutes to get his coffee and get back in the car. And his total commute takes 45 minutes. How fast does Mr. Schneider drive after he gets his coffee?