You are comparing cell phone plans. Plan 1 charges $20 per month, and Plan 2 charges $25 per month. Plan 1 has a $40 sign-up fee, and Plan 2 has a $30 sign-up fee. In how many months will the total cost of Plan 2 be equal to the total cost of Plan 1?

Your family is opening a restaurant and needs to order small plates for appetizers and large plates for main courses. You are looking over the pricing quotes below from a company for two order sizes:

Order              Small                Large                  Price

1                      75                     100                $493.75

2                     100                    150                $725.00

How much does one small plate cost in dollars?

At what point, if any, do the functions 6x + 3y = 9 and y – x = 6 intersect?

You are selling t-shirts in small and large sizes. You will sell small t-shirts for $12.50 and large t-shirts for $14. If you sell a total of 85 t-shirts over the course of a weekend and make $1,142.00, how many large shirts did you sell?

Two angles add to 75°. If the smaller angle is equal to half the larger angle plus 3, what is the measure of the smaller angle in degrees?

Mini-game booths at a carnival reward tickets as prizes. Each ticket is worth the same dollar amount and can be used to purchase food and other prizes. After playing games for a few hours, you and your 2 friends pool your tickets and find you have earned a total of $69.00. You earned 38 tickets, and your friends won 25 tickets and 29 tickets. How much money are your 38 tickets worth?

You and your friend are both buying dessert to bring home from a bakery that sells slices of cheesecake and chocolate cake. You pay $14.50 for 3 slices of cheesecake and 4 slices of chocolate cake. Your friend pays $7.75 for a single slice of cheesecake and 3 slices of chocolate cake. What is the price of a slice of cheesecake at this bakery in dollars?

The length of two pieces of board can be expressed as 5x – 5 inches for the first piece and 9x + 16 inches for the second piece. If the second piece of board is twice the length of the first piece of board, how long are both pieces combined in inches?   

Two numbers add to 73. Five times the smaller number is equal to the larger number minus 7. Which could be the two numbers?