On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50.   On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25.  Which equations could be used to determine the cost of the coffee?  Let c represent the number of cups of coffee, and let d represent the number of doughnuts.

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation?  Let x represent the number of people who ordered chicken, and let y represent the number of people who ordered steak.

Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular. One night, the theater sells 578 tickets and collects $3365 in total ticket sales. Which system best represents the situation? Let x represent the number of matinee tickets and let y represent the number of regular tickets.

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation? Let x represent the number of black-and-white brochure boxes, and y represent the number of color brochure boxes.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation? Let x represent the number of nachos sold, and let y represent the number of sodas sold.

Nancy went to the grocery story.  On Monday she purchased 4 apples and 6 bananas for a total of $13.  On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50.  Which system of equations represents the situation? Let x represent the number of apples, and let y represent the number of bananas.

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold? Let S represent the number of student tickets, and let A represent the number of adult tickets.

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total.

To solve, I graphed:

x + y = 21

6x + 4y = 104

I got an intersection point at (10,11). What does that mean in context of the problem?

1.  The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations. Let q represent the cost of squash. Let z represent the cost of zucchini.

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which system of equations represents the number of shirts, x, when both companies charge the same amount, y?

John was 20 feet away and was running 5 feet per minute. Alex was 50 feet away and was 3 feet per minute. Write a system of two equations for this situation, where y is the distance ran and x is the number of minutes.

The Really Awesome Skating Rink was $5 to get in and $3 per hour. The Not As Awesome Skating Rink was $10 at the door and was $6 per hour. Write an equation for this situation, where y is the cost to skate for x hours.

The little bunny ate 20 carrots and he could eat another 5 carrots a day. The big bunny had already eaten 60 carrots and he could eat 25 more carrots a day. Write a system of equations for this situation, where y is the total number of carrots the bunny ate after x days.

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets.

Which equations represents the system that could be used? 

s is the cost of senior citizen tickets.

c is the cost of child tickets.

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings, x, when both companies cost the same amount, y?