Solving Real-World Problems: Systems of Equations

A bakery sells cookies and muffins. The total number of cookies and muffins sold in one day is 120. If the number of cookies sold is twice the number of muffins sold, how many cookies and muffins were sold?

• 100 cookies and 20 muffins

• 60 cookies and 60 muffins

• 80 cookies and 40 muffins

• 50 cookies and 70 muffins

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Another company charges a flat fee of $30 plus $0.25 per mile. How many miles must you drive for the costs to be the same for both companies?

• 200 miles

• 500 miles

• 300 miles

• 400 miles

Two friends, Alex and Jamie, are saving money to buy a video game. Alex saves $5 each week, while Jamie saves $3 each week. If Alex has $20 saved already, how many weeks will it take for them to have the same amount saved?

• 10 weeks

• 5 weeks

• 15 weeks

• 8 weeks

A school is planning a field trip and has a budget of $500. The cost per student is $10 for transportation and $15 for admission. If 20 students are going, will they stay within budget?

• Yes, but only if fewer than 20 students attend.

• No, they can only afford 15 students.

• Yes, they will stay within budget.

• No, they will exceed the budget.

A farmer has chickens and cows. The total number of animals is 50, and there are 150 legs in total. How many chickens and cows does the farmer have?

• 20 chickens and 30 cows

• 10 chickens and 40 cows

• 30 chickens and 20 cows

• 25 chickens and 25 cows

A concert venue has two types of tickets: general admission for $30 and VIP tickets for $50. If they sold a total of 200 tickets and made $8000, how many of each type of ticket were sold?

• 200 VIP tickets and 0 general admission tickets

• 100 general admission tickets and 100 VIP tickets

• 150 general admission tickets and 50 VIP tickets

• 50 general admission tickets and 150 VIP tickets

A store sells pencils for $0.50 each and erasers for $1.00 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

• 6 pencils and 4 erasers

• 8 pencils and 2 erasers

In a school, the number of boys is three times the number of girls. If there are 40 students in total, how many boys and girls are there?

• 20 boys and 20 girls

• 30 boys and 10 girls

• 25 boys and 15 girls

• 35 boys and 5 girls

A local gym offers two membership plans. Plan A costs $25 per month, and Plan B costs $15 per month plus a one-time fee of $100. After how many months will both plans cost the same?

• 5 months

• 10 months

• 12 months

• 8 months

A restaurant sells two types of sandwiches: a veggie sandwich for $5 and a meat sandwich for $7. If they sold a total of 50 sandwiches and made $300, how many of each type of sandwich did they sell?

• 10 veggie sandwiches and 40 meat sandwiches

• 30 veggie sandwiches and 20 meat sandwiches

• 25 veggie sandwiches and 25 meat sandwiches

• 20 veggie sandwiches and 30 meat sandwiches