Vincent wrote a total of 18 pages over 9 hours. How many hours will Vincent have to spend writing this week in order to have written a total of 20 pages? Solve using unit rates.
First, we need to find Vincent's rate of writing in pages per hour. We can do this by dividing the total number of pages by the total number of hours: 18 pages / 9 hours = <<18/9=2>>2 pages per hour
Now we can set up an equation to find how many hours Vincent needs to write to reach his goal: 2 pages per hour * x hours = 20 pages
Dividing both sides of the equation by 2 pages per hour, we find that Vincent needs to spend x = <<20/2=10>>10 hours writing this week. Answer: \boxed{10}.
Emma earned a total of $8 by selling 2 cups of lemonade. How many cups of lemonade does Emma need to sell in all to earn $24? Solve using unit rates.
First, we need to find Emma's rate of earning money in dollars per cup. We can do this by dividing the total amount of money earned by the total number of cups sold: $8 / 2 cups = $4 per cup
Now we can set up an equation to find how many cups Emma needs to sell to reach her goal: $4 per cup * x cups = $24
Dividing both sides of the equation by $4 per cup, we find that Emma needs to sell x = $24 / $4 per cup = 6 cups of lemonade in total. Answer: \boxed{6}.
The corporate team-building event will cost $18 if it has 6 attendees. How many attendees can there be, at most, if the budget for the corporate team-building event is $42? Solve using unit rates.
First, we need to find the cost per attendee for the team-building event. We can do this by dividing the total cost by the number of attendees: $18 / 6 attendees = $3 per attendee
Now we can set up an inequality to find the maximum number of attendees for the given budget: $3 per attendee * x attendees ≤ $42
Dividing both sides of the inequality by $3 per attendee, we find that x attendees ≤ $42 / $3 per attendee = 14 attendees
Therefore, the maximum number of attendees for the team-building event is 14. Answer: \boxed{14}.