Solving & Graphing Systems of Equations in Real Life

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

• 25 adult tickets and 25 student tickets

• 30 adult tickets and 20 student tickets

• 20 adult tickets and 30 student tickets

• 40 adult tickets and 10 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 $60 more than John after a certain number of weeks, how many weeks have they been saving?

• 10

• 8

• 15

• 12

A farmer has chickens and cows. If there are 20 animals in total and there are 56 legs among them, how many chickens and how many cows does the farmer have?

• 5 chickens and 15 cows

• 10 chickens and 10 cows

• 15 chickens and 5 cows

• 12 chickens and 8 cows

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

• Alex has 40 stickers and Jamie has 40 stickers.

• Alex has 50 stickers and Jamie has 30 stickers.

• Alex has 70 stickers and Jamie has 10 stickers.

• Alex has 60 stickers and Jamie has 20 stickers.

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

• 50 miles

• 120 miles

• 75 miles

• 100 miles

In a school, the number of boys is twice the number of girls. If the total number of students is 90, how many boys and girls are there?

• 60 boys and 30 girls

• 45 boys and 45 girls

• 50 boys and 40 girls

• 70 boys and 20 girls

A bookstore sells fiction and non-fiction books. If the total number of books sold is 120 and the revenue from fiction books is $600 while non-fiction books generate $300, how many of each type of book were sold?

• 90 fiction books and 30 non-fiction books

• 70 fiction books and 50 non-fiction books

• 60 fiction books and 60 non-fiction books

• 80 fiction books and 40 non-fiction books

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. If a customer wants to spend the same amount on both plans after a year, how many months will they need to be a member?

• 6 months

• 10 months

• 8 months

• 12 months

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

• 100 regular seats and 100 VIP seats

• 150 regular seats and 50 VIP seats

• 180 regular seats and 20 VIP seats

In a fruit market, apples cost $2 each and bananas cost $1 each. If a customer buys a total of 30 fruits for $50, how many apples and bananas did they buy?

• 15 apples and 15 bananas

• 20 apples and 10 bananas

• 10 apples and 20 bananas

• 25 apples and 5 bananas