A theater sold 240 tickets, adult at $12 and student at $8, taking in $2,320. Let a be adult tickets and s be student tickets. Which system represents the ticket sales?

One order of 3 notebooks and 2 pens costs $16. A second order of 5 notebooks and 4 pens costs $29. For notebook price n and pen price p, which system represents the two orders?

A technician mixes a 40% acid solution with a 15% acid solution to make 50 mL of 25% acid. Let x and y be the milliliters of each. Which system models the mixture?

A driver covers 390 km in 5 hours, part at 60 km/h and part at 90 km/h. Let x be the hours at 60 km/h and y the hours at 90 km/h. Which system models the trip?

A cash drawer holds 30 bills, all $5 or $20, worth $360 in all. For f fives and t twenties, one equation is f + t = 30. Which equation completes the system?

A stand sold 25 kg for $86: apples $3 per kg, pears $4 per kg. For kilograms a and p, a student wrote a + p = 86; 3a + 4p = 25. Which system is correct?

An employee worked 32 hours in a week, some at $18 per hour and the rest at $27 per hour, earning $684. Let w be the $18 hours and e the $27 hours. Which system represents the week?

A cinema sold 150 tickets, adult at $11 and child at $7, taking in $1,410. How many adult tickets were sold?

A cyclist rides 95 km in 4 hours, part at 20 km/h and the rest at 30 km/h. How many hours were ridden at 30 km/h?

A cash box holds 24 bills, all $5 or $10, worth $185 in all. How many $10 bills are in the box?

At an office supplier, 4 folders and 3 binders cost $27, while 2 folders and 5 binders cost $31. What is the price of one binder?

A lab combines a 20% saline solution with a 50% saline solution to make 30 mL of 40% saline. How many milliliters of the 50% solution are used?

For the system c + d = 45 and 6c + 9d = 315, substitution gives 6c + 9(45 - c) = 315. What is the value of c?

A booth sells muffins at $3 and juices at $2. Its system is m + j = 80 and 3m + 2j = 205. What does the term 3m represent?

A shop blends tea costing $12 per kg with tea costing $18 per kg and writes 12x + 18y = 264. What does 264 represent in the situation?

A vendor sold small and large items. The graphs of s + t = 90 and 4s + 7t = 480 meet at the point (50, 40). What does that point of intersection tell the vendor?

Two equations written to model a situation graph as parallel lines that never meet. What does that say about the situation as described?

A club has at most $600 for shirts at $15 each and caps at $9 each. Let s be shirts and c caps. Which inequality represents the spending limit?

A shuttle service must move at least 60 passengers using vans that hold 6 and buses that hold 20. Let v be vans and b buses. Which inequality states that requirement?

A budget of no more than $500 buys chairs at $30 and tables at $75. For chairs c and tables t, a student wrote $30c+75t\ge 500$. Which inequality is correct?