Solving Real-World Systems of Equations Challenges

A local bakery sells cupcakes and cookies. The total number of items sold in a day is 50. If the bakery sells 2 cupcakes for every cookie, how many cupcakes and cookies were sold?

• 25 cupcakes and 25 cookies

• 15 cupcakes and 35 cookies

• 30 cupcakes and 20 cookies

• 40 cupcakes and 10 cookies

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Another company charges a flat fee of $20 plus $0.25 per mile. How many miles must you drive for the costs to be the same?

• 200 miles

• 150 miles

• 250 miles

• 100 miles

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $5 a week, while Jamie saves $3 a week. If Alex starts with $20 and Jamie starts with $10, how many weeks will it take for them to have the same amount of money?

• 7 weeks

• 3 weeks

• 5 weeks

• 10 weeks

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

• Yes, they can take 25 students.

• Yes, they can take 20 students.

• No, they can only take 15 students.

• No, they will exceed the budget with 20 students.

A farmer has a total of 100 animals, consisting of chickens and cows. If there are 3 times as many chickens as cows, how many of each type of animal does the farmer have?

• 30 cows and 70 chickens

• 50 cows and 50 chickens

• 20 cows and 80 chickens

• 25 cows and 75 chickens

A movie theater sells adult tickets for $12 and child tickets for $8. If the total revenue from ticket sales is $480 and 50 tickets were sold, how many adult and child tickets were sold?

• 25 adult tickets and 25 child tickets

• 15 adult tickets and 35 child tickets

• 20 adult tickets and 30 child tickets

• 10 adult tickets and 40 child tickets

A gym offers two membership plans. Plan A costs $40 per month, while Plan B costs $30 per month plus a one-time fee of $100. After how many months will the total cost of both plans be the same?

• 10

• 15

• 20

• 5

A store sells pencils for $0.50 each and erasers for $1.00 each. If a student buys a total of 20 items and spends $12, how many pencils and erasers did the student buy?

• 16 pencils and 4 erasers

• 18 pencils and 2 erasers

• 10 pencils and 10 erasers

• 12 pencils and 8 erasers

Two trains leave a station at the same time. Train A travels at a speed of 60 miles per hour, while Train B travels at 80 miles per hour. How far apart will they be after 2 hours?

• 60 miles

• 20 miles

• 40 miles

• 100 miles

A restaurant offers a special where a burger costs $10 and fries cost $5. If a family of four spends $50 on food, how many burgers and fries did they order?

• 1 burger and 3 fries

• 3 burgers and 1 fries

• 4 burgers and 0 fries

• 2 burgers and 2 fries