Systems Word Problems (Part 4)

Front

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

Back

x + y = 33
x = 2y - 3

Front

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?

Back

S + A = 530
3S + 4A = 1740

Front

Equations to determine the cost of coffee from Joe's purchases on Monday and Tuesday.

Back

10c + 5d = 16.50, 5c + 10d = 14.25

Front

Homer sells 21 tickets for a total of $104. Prices: $6 for adults, $4 for children. How many of each type were sold?

Back

10 adults, 11 children

Front

David sells nachos for $1.50 each and sodas for $0.50 each. He made $78.50 from selling 87 nachos and sodas combined. How many nachos and sodas did he sell?

Back

35 nachos, 52 sodas

Front

Write the linear inequality in standard form for this situation: Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than $81. An order of breadsticks costs $7 and a pizza costs $13.

Back

7x + 13y ≤ 81

Front

Write the linear inequality in standard form for this situation: The manager of an electronics store projects that the store should achieve more than $21,000 in revenue from TVs and DVD players every day in order to remain profitable. TVs sell for $225 and DVD players sell for $175.

Back

225x + 175y > 21,000

Front

Which situation can be represented by the inequality
15 + 6x ≤ 100?

Back

Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

Front

Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?

Back

x + y ≤ 6; 32x + 20y ≥ 150

Front

Cole needs to score at least 20 points in less than 10 shots. If x is the number of 2-point shots, and y is the number of 3-point shots, which inequalities represent the situation?

Back

x + y < 10, 2x + 3y ≥ 20