6.3 Systems Word Problems A2 U1 §3.5 Systems Word Problems

Kristin spent $131 on shirts Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of 7 then how many of each kind did she buy?

There are 13 animals in the barn. Some are chickens and some are pigs There are 13 animals in the barn. Some are chickens and some are pigs. There are 40 legs in all. How many of each animal is there?

A farmhouse shelters 10 animals. Some are pigs and some are ducks A farmhouse shelters 10 animals. Some are pigs and some are ducks. Altogether there are 36 legs. How many of each animal is there?

A class of 195 students went on a field trip A class of 195 students went on a field trip. They took 7 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 5 students and each bus hold 45 students.

At Elisa's Printing Company LLC there are two kinds of printing presses: Model A which can print 70 books per day and Model B which can print 55 books per day. The company owns 14 total printing presses and this allows them to print 905 books per day. How many of each type of press do they have?

Molly's Custom Kitchen Supplies sells handmade forks and spoons Molly's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the supplies to make a fork and $1.30 to buy the supplies to make a spoon. The store sells forks for $5.60 and spoons for $5.40. Last April Molly's Custom Kitchen Supplies spent $37.90 on materials for forks and spoons. They sold the finished products for a total of $147.20. How many forks and how many spoons did they make last April?

A company borrowed 600,000 for one year A company borrowed 600,000 for one year. Part was at 8% interest; part was at 10% interest rate. How much at each rate if annual interest is $53,000?

A community center sells a total of 301 tickets for a basketball game A community center sells a total of 301 tickets for a basketball game. An adult ticket costs $3. A student ticket costs $1. The sponsors collect $487 in ticket sales. Find the number of each type of ticket sold.

6.4 Systems Word Problems

A farmer raises wheat and soybeans on 215 acres A farmer raises wheat and soybeans on 215 acres. If he wants to plant 31 more acres in wheat than soybeans, how many acres of each should be planted?

A grocer plans to mix candy that sells for $2 a pound with candy that sells for $4 a pound to get a mixture that sells for $2.75 a pound.  How much of each type of candy should she use if she wants a 40-pound mixture?

A total of 512 tickets were sold for the school play A total of 512 tickets were sold for the school play. The number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold?

Amy took a test that had a math section and an English section Amy took a test that had a math section and an English section. She earned a total score of 88. Her math score was 6 points higher than her English score. What were her scores on each section?

April buys eight books for $44 April buys eight books for $44. Paperback books cost $4 and hardback cost $8. How much of each type did she buy?

At the afternoon matinee movie 3 adult tickets and 4 child tickets cost $41, and 4 adult tickets and 3 child tickets cost $43. Find the cost of an adult ticket and the cost of a child ticket.

Copper that was 63% pure was melted together with copper that was 90% pure to make 18 kilograms of an alloy that was 75% pure. How many kilograms of each kind were used?

Tickets to a movie cost $7. 25 for adults and $5. 50 for students Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for $52.75.  Write a system of equations to represent this situation.

A farmhouse shelters 11 animals. Some are goats and some are ducks A farmhouse shelters 11 animals. Some are goats and some are ducks. Altogether there are 34 legs. How many of each animal is there?

All 231 students in the Math Club went on a field trip All 231 students in the Math Club went on a field trip. Some students’ rode in vans that hold 7 students each and some students rode in buses that hold 25 students each. How many of each type of vehicle did they use if there were 15 vehicles total?

A chemist wants to make 200mL of acid solution with a concentration of 48%. He wants to make this from two solutions with 60% and 40% concentrations respectively. How much of each solution should he use?

To make 10 kg of aluminum alloy with 60% aluminum, a scientist wants to use two metals with 45% and 70% aluminum content respectively. How much of each metal should she use?