Ten friends want to watch a movie together. Since they belong to different "stable groups" at school, they decide to do a virtual "watch party". Seven of the friends have premium online accounts so they get 75% off any movie rentals. Three must pay full price. To make things fair, the friends decide they will figure out the total cost ahead of time and divide it up equally. If r is the full price of a single movie rental, what expression correctly represents the amount each person will pay?
1 point
1
Question 3
3.
To save on shipping cost, most soft drinks are manufactured as concentrated syrups and shipped around the country to local bottling plants. They are only diluted to their finished strength right before being bottled and shipped to nearby stores. If the syrup for a fruit punch drink is 10% water, but the finished drink must be 80% water, write an equation that will help determine how many gallons of pure water, w, must be mixed into 55 gallons of concentrated syrup.
1 point
1
Question 4
4.
Six friends each buy the newest music album. Two use a $5-off coupon, and the other four pay full price. Together, they spend a total of $56. Let p be the full price of a single purchase.
A) Write an equation that expresses p as a calculation using the following quantitiative parts of the scenario:
6 friends
$56 total
-$5 per coupon
B) Find the value of p, the full price for the album.
1 point
1
Question 5
5.
The sum of three consecutive odd integers is -321. What is the least of the summands?