Solving Real-World Problems with Systems of Equations

A school is selling tickets for a play. Adult tickets cost $10 each and student tickets cost $5 each. If they sold a total of 50 tickets for $400, how many adult and student tickets were sold?

• 40 adult tickets and 10 student tickets

• 25 adult tickets and 25 student tickets

• 30 adult tickets and 20 student tickets

• 15 adult tickets and 35 student tickets

Tags

CCSS.8.EE.C.8C

Maria and John are saving money for a new bike. Maria has $20 more than John. Together, they have $120. How much money does each person have?

• John has $40 and Maria has $60.

• John has $50 and Maria has $70.

• John has $60 and Maria has $80.

• John has $30 and Maria has $90.

Tags

CCSS.8.EE.C.8C

A farmer has chickens and cows. The total number of animals is 30, and there are 80 legs in total. How many chickens and cows does the farmer have?

• 20 chickens and 10 cows

• 15 chickens and 15 cows

• 25 chickens and 5 cows

• 10 chickens and 20 cows

Tags

CCSS.8.EE.C.8C

Two friends, Alex and Jamie, are collecting stamps. Alex has 5 more stamps than Jamie. Together, they have 45 stamps. How many stamps does each friend have?

• Alex has 25 stamps and Jamie has 20 stamps.

• Alex has 10 stamps and Jamie has 35 stamps.

• Alex has 20 stamps and Jamie has 25 stamps.

• Alex has 30 stamps and Jamie has 15 stamps.

Tags

CCSS.8.EE.C.8C

A bookstore sells fiction and non-fiction books. The fiction books cost $15 each, and the non-fiction books cost $10 each. If 20 books were sold for a total of $250, how many of each type were sold?

• 15 fiction books and 5 non-fiction books

• 10 fiction books and 10 non-fiction books

• 12 fiction books and 8 non-fiction books

• 5 fiction books and 15 non-fiction books

Tags

CCSS.8.EE.C.8C

In a class, the number of boys is twice the number of girls. If there are 36 students in total, how many boys and girls are in the class?

• 24 girls and 12 boys

• 30 girls and 6 boys

• 18 girls and 18 boys

• 12 girls and 24 boys

Tags

CCSS.7.EE.B.4A

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $50 for a rental, how many miles did they drive?

• 75 miles

• 100 miles

• 120 miles

• 50 miles

Tags

CCSS.7.EE.B.4A

A concert hall has two types of seating: regular and VIP. Regular seats cost $50 each, and VIP seats cost $100 each. If 200 seats were sold for a total of $12,000, how many of each type were sold?

• 160 regular seats and 40 VIP seats

• 180 regular seats and 20 VIP seats

• 100 regular seats and 100 VIP seats

• 150 regular seats and 50 VIP seats

Tags

CCSS.8.EE.C.8C

Lisa and Tom are selling cookies. Lisa sells cookies for $2 each, and Tom sells them for $3 each. If they sold a total of 100 cookies for $240, how many cookies did each sell?

• Lisa sold 60 cookies and Tom sold 40 cookies.

• Lisa sold 50 cookies and Tom sold 50 cookies.

• Lisa sold 70 cookies and Tom sold 30 cookies.

• Lisa sold 40 cookies and Tom sold 60 cookies.

Tags

CCSS.8.EE.C.8C

A gym has two types of memberships: monthly and yearly. A monthly membership costs $30, and a yearly membership costs $300. If 50 memberships were sold for a total of $1,500, how many of each type were sold?

• 50 monthly memberships and 0 yearly memberships

• 0 monthly memberships and 50 yearly memberships

• 25 monthly memberships and 25 yearly memberships

• 30 monthly memberships and 20 yearly memberships

Tags

CCSS.8.EE.C.8C