Real-World Systems of Equations: Graphing Solutions

A local bakery sells cupcakes and cookies. If the total number of baked goods is 50 and the number of cupcakes is twice the number of cookies, how many cupcakes and cookies are there?

• 15 cupcakes and 35 cookies

• 30 cupcakes and 20 cookies

• 25 cupcakes and 25 cookies

• 40 cupcakes and 10 cookies

A school is planning a field trip. The cost of a bus is $200 and the cost of tickets is $5 per student. If the total cost for 40 students is $400, how many buses are needed?

• 4

• 2

• 1

• 3

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $10 a week and Jamie saves $15 a week. If they want to save a total of $200 together, how many weeks will it take for them to reach their goal?

• 12 weeks

• 6 weeks

• 8 weeks

• 10 weeks

A farmer has chickens and cows. If the total number of animals is 30 and the number of chickens is 5 more than twice the number of cows, how many chickens and cows does the farmer have?

• 30 chickens and 0 cows

• 15 chickens and 15 cows

• 25 chickens and 5 cows

• 20 chickens and 10 cows

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?

• 100 miles

• 150 miles

• 200 miles

• 50 miles

In a fruit market, apples cost $2 each and bananas cost $1 each. If a customer buys a total of 10 fruits and spends $16, how many apples and bananas did they buy?

• 6 apples and 4 bananas

• 5 apples and 5 bananas

• 4 apples and 6 bananas

• 7 apples and 3 bananas

A concert hall has two types of tickets: regular tickets for $30 and VIP tickets for $50. If 200 tickets were sold for a total of $8,000, how many of each type of ticket were sold?

• 100 regular tickets and 100 VIP tickets were sold.

• 50 regular tickets and 150 VIP tickets were sold.

• 200 regular tickets and 0 VIP tickets were sold.

• 150 regular tickets and 50 VIP tickets were sold.

A bookstore sells novels and magazines. If the total number of books sold is 120 and the number of novels is 3 times the number of magazines, how many novels and magazines were sold?

• 100 novels and 20 magazines

• 80 novels and 40 magazines

• 60 novels and 60 magazines

• 90 novels and 30 magazines

A gym offers two membership plans: a monthly plan for $40 and an annual plan for $400. If 100 members choose the monthly plan and 50 choose the annual plan, what is the total revenue from memberships?

• 30000

• 15000

• 20000

• 24000

A movie theater sells adult and child tickets. If the total number of tickets sold is 150 and the number of adult tickets is 3 times the number of child tickets, how many adult and child tickets were sold?

• Adult tickets: 111, Child tickets: 37

• Adult tickets: 120, Child tickets: 30

• Adult tickets: 90, Child tickets: 60

• Adult tickets: 75, Child tickets: 75