Graphing & Analyzing Systems of Equations: Word Problems

A farmer has chickens and cows. If he has a total of 30 animals and there are 80 legs in total, how many chickens and cows does he have?

• 20 chickens and 10 cows

• 10 chickens and 20 cows

• 15 chickens and 15 cows

• 25 chickens and 5 cows

Two friends, Alex and Jamie, are selling lemonade and cookies. Alex sells lemonade for $2 and cookies for $3, while Jamie sells lemonade for $3 and cookies for $2. If they both make $30, how many of each item did they sell?

• Alex: 5 lemonades, 7 cookies; Jamie: 10 lemonades, 0 cookies.

• Alex: 6 lemonades, 6 cookies; Jamie: 4 lemonades, 12 cookies.

• Alex: 3 lemonades, 9 cookies; Jamie: 6 lemonades, 6 cookies.

• Alex: 8 lemonades, 4 cookies; Jamie: 2 lemonades, 8 cookies.

A school is planning a field trip. The cost for a bus is $200 and each student pays $10. If 25 students are going, how many buses are needed to keep the cost per student at $10?

• 5 buses

• 1 bus

• 3 buses

• 2 buses

In a concert, tickets for adults cost $15 and tickets for children cost $10. If the total revenue from ticket sales is $600 and 50 tickets were sold, how many adult and child tickets were sold?

• 10 adult tickets and 40 child tickets

• 25 adult tickets and 25 child tickets

• 15 adult tickets and 35 child tickets

• 20 adult tickets and 30 child tickets

A store sells pencils for $0.50 each and erasers for $1. If a student buys a total of 20 items and spends $12, how many pencils and erasers did the student buy?

• 10 pencils and 10 erasers

• 12 pencils and 8 erasers

• 18 pencils and 2 erasers

• 16 pencils and 4 erasers

A local bakery sells muffins for $2 each and cookies for $1.50 each. If they sold a total of 40 items and made $70, how many muffins and cookies did they sell?

• 10 muffins and 30 cookies

• 25 muffins and 15 cookies

• 15 muffins and 25 cookies

• 20 muffins and 20 cookies

In a park, there are ducks and swans. If there are 50 birds in total and there are 150 legs, how many ducks and swans are there?

• 0 ducks and 50 swans

• 50 ducks and 0 swans

• 10 ducks and 40 swans

• 25 ducks and 25 swans

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer pays $70, how many miles did they drive?

• 150 miles

• 50 miles

• 200 miles

• 100 miles

A bookstore sells novels for $12 and magazines for $5. If a customer buys a total of 10 items and spends $80, how many novels and magazines did they buy?

• 5 novels and 5 magazines

• 3 novels and 7 magazines

• 4 novels and 6 magazines

• 2 novels and 8 magazines