Solving Systems of Equations:

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Solving Systems of Equations: Word Problems

Systems of Equations Problem Solving Question #1 You sell tickets for admission to your school play and collect a total of $104. Admission prices are $6 for adults and $4 for children. You sold 21 tickets. How many adult tickets and how many children tickets did you sell?

Systems of Equations Problem Solving Question #2 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 the steak dinner for $17. If the total bill was $91, how many people ordered each type of dinner?

Systems of Equations Problem Solving Question #3 You bought the meat for Saturday’s cookout. A package of hot dogs cost $1.60 and a package of hamburger cost $5. You bought a total of 8 packages of meat and you spent $23. How many packages of hamburger meat did you buy?

Systems of Equations Problem Solving Question #4 Casey orders 3 pizzas and 2 orders of breadsticks for a total of $29.50. Rachel orders 2 pizzas and 3 orders of breadsticks for a total of $23. How much does a pizza cost?

Systems of Equations Problem Solving Question #5 Rent-A-Car rents compact cars for a fixed amount per day plus a fixed amount for each mile driven. Benito rented a car for 6 days, drove it 550 miles, and spent $337. Lisa rented the same car for 3 days, drove it 350 miles, and spend $185. What is the charge per day and the charge per mile for the compact car?

Systems of Equations Problem Solving Question #6 Beach Hotel in Cancun is offering two weekend specials. One includes a 2- night stay with 3 meals and cost $195. The other includes a 3-night stay with 5 meals and cost $300. What is the cost of a single meal?

Systems of Equations Problem Solving Question #7 You and your friend go to a Mexican restaurant. You order 2 tacos and 2 enchiladas. Your friend orders 3 tacos and 1 enchilada. Your bill was $4.80. Your friend’s bill was $4.00. What was the price of an enchilada?

Systems of Equations Problem Solving Question #8 For a community bake sale, you purchases 12 pounds of sugar and 15 pounds of flour. Your total cost was $9.30. The next day, you purchased 4 pounds of sugar and 10 pounds of flour. Your total cost the second day was $4.60. Find the cost of a pound of sugar and a pound of flour.

Systems of Equations Problem Solving Question #9 A travel agency offers different getaways to New York. Plan A includes hotel accommodations for 3-nights and 2-pair of baseball tickets for $645. Plan B includes hotel accommodations for 5-nights and 4-pairs of baseball tickets for $1135. How much does a single hotel cost and how much does a single pair of baseball tickets cost?

Systems of Equations Problem Solving Question #10 Tickets for the theater are $5 for the balcony and $10 for the orchestra. If 600 tickets were sold and the total receipts were $4750, how many tickets of each type were sold?

Systems of Equations Problem Solving Question #11 You bought 5 pairs of socks for $19. The wool socks you bought cost $5 per pair. The cotton socks you bought cost $3 per pair. How many of each type of sock did you buy?

Systems of Equations Problem Solving Question #12 A sporting good store sells right-handed and left-handed baseball gloves. In one month, 12 gloves were sold for a total revenue of $528. Right handed gloves cost $48 and left-handed gloves cost $36. How many right-handed gloves were sold?