Solving Real-World Equations: Systems for Grade 8

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 $350, how many of each type of ticket did they sell?

• 15 adult tickets and 35 student tickets

• 20 adult tickets and 30 student tickets

• 25 adult tickets and 25 student tickets

• 10 adult tickets and 40 student tickets

Maria and John are saving money for a concert. Maria saves $15 each week, while John saves $10 each week. If Maria has saved $90 more than John after a certain number of weeks, how many weeks have they been saving?

• 12

• 20

• 15

• 18

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

• 250 miles

• 150 miles

• 100 miles

A farmer has chickens and cows. If the total number of animals is 40 and the total number of legs is 120, how many chickens and how many cows does the farmer have?

• 25 chickens and 15 cows

• 10 chickens and 30 cows

• 30 chickens and 10 cows

• 20 chickens and 20 cows

Two friends, Alex and Jamie, are collecting baseball cards. Alex has 3 times as many cards as Jamie. Together, they have 80 cards. How many cards does each friend have?

• Alex has 60 cards, Jamie has 20 cards.

• Alex has 40 cards, Jamie has 40 cards.

• Alex has 50 cards, Jamie has 30 cards.

• Alex has 70 cards, Jamie has 10 cards.

A bookstore sells fiction and non-fiction books. Fiction books cost $12 each and non-fiction books cost $15 each. If a customer buys 10 books for a total of $130, how many of each type did they buy?

• 4 fiction and 6 non-fiction books

• 6 fiction and 4 non-fiction books

• 3 fiction and 7 non-fiction books

• 5 fiction and 5 non-fiction books

In a school, the number of boys is twice the number of girls. If there are 60 students in total, how many boys and girls are there?

• 40 boys and 20 girls

• 30 boys and 30 girls

• 50 boys and 10 girls

• 25 boys and 35 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 $60. After how many months will the costs of both plans be equal?

• 6

• 10

• 8

• 4

A concert hall has two types of seating: regular seats and VIP seats. Regular seats cost $50 each, and VIP seats cost $100 each. If the total revenue from 200 seats sold is $12,000, how many of each type of seat 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

A delivery service charges a base fee of $5 plus $2 per mile. Another service charges a base fee of $10 plus $1.50 per mile. How far must you travel for the costs to be the same?

• 10 miles

• 20 miles

• 15 miles

• 5 miles