Solving Real-Life Algebra Word Problems with Systems of Equations

A store sells pencils for $0.50 each and erasers for $0.75 each. If a student buys a total of 10 items and spends $6.00, how many pencils and erasers did they buy?

• 7 pencils and 3 erasers

• 5 pencils and 5 erasers

• 4 pencils and 6 erasers

• 6 pencils and 4 erasers

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $5 each week, while Jamie saves $3 each week. If they want to have a total of $50 together, how many weeks will it take for them to reach their goal?

• 12 weeks

• 10 weeks

• 7 weeks

• 5 weeks

A farmer has chickens and cows. If the total number of animals is 30 and the total number of legs is 100, how many chickens and cows does the farmer have?

• 5 chickens and 25 cows

• 15 chickens and 15 cows

• 10 chickens and 20 cows

• 20 chickens and 10 cows

In a school, the ratio of boys to girls is 3:2. If there are 50 students in total, how many boys and girls are there?

• 15 boys and 35 girls

• 40 boys and 10 girls

• 30 boys and 20 girls

• 25 boys and 25 girls

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If a customer pays $50, how many miles did they drive?

• 200 miles

• 150 miles

• 100 miles

• 250 miles

A theater sells adult tickets for $12 and child tickets for $8. If they sold a total of 100 tickets and made $960, how many adult and child tickets were sold?

• 50 adult tickets and 50 child tickets

• 30 adult tickets and 70 child tickets

• 20 adult tickets and 80 child tickets

• 40 adult tickets and 60 child tickets

A recipe requires 2 cups of flour and 3 cups of sugar. If you want to make a batch that uses 12 cups of flour, how many cups of sugar will you need?

• 24 cups of sugar

• 6 cups of sugar

• 18 cups of sugar

• 12 cups of sugar

A school is planning a field trip. The cost per student is $15, and they need to raise a total of $600. How many students need to participate to meet the goal?

• 50

• 30

• 40

• 25

A bike shop sells mountain bikes for $300 and road bikes for $400. If they sold a total of 15 bikes and made $5,000, how many of each type of bike did they sell?

• 0 mountain bikes and 15 road bikes

• 1 mountain bike and 14 road bikes

• 5 mountain bikes and 10 road bikes

• 2 mountain bikes and 13 road bikes

In a class, the number of students who play soccer is twice the number of students who play basketball. If there are 36 students in total, how many play each sport?

• 24 students play basketball and 12 students play soccer.

• 12 students play basketball and 24 students play soccer.

• 18 students play basketball and 18 students play soccer.

• 30 students play basketball and 6 students play soccer.