Solving and Graphing Linear Equations in Real-Life Scenarios

A school is selling tickets for a concert. Adult tickets cost $15 and student tickets cost $10. If the school sold a total of 200 tickets for $2,500, how many adult and student tickets were sold?

• 100 adult tickets and 100 student tickets were sold.

• 150 adult tickets and 50 student tickets were sold.

• 120 adult tickets and 80 student tickets were sold.

• 90 adult tickets and 110 student tickets were sold.

A farmer has a total of 50 animals consisting of cows and chickens. If there are 140 legs in total, how many cows and how many chickens does the farmer have?

• 10 cows and 40 chickens

• 20 cows and 30 chickens

• 15 cows and 35 chickens

• 25 cows and 25 chickens

Two friends, Alex and Jamie, are saving money for a video game. Alex saves $5 each week, while Jamie saves $8 each week. If they both want to have the same amount saved after a certain number of weeks, how many weeks will it take for them to have the same amount saved?

• 3 weeks

• 1 week

• 2 weeks

• 0 weeks

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?

• 250 miles

• 150 miles

• 200 miles

• 100 miles

A local bakery sells muffins and cookies. A muffin costs $2 and a cookie costs $1. If the bakery sold a total of 100 items for $150, how many muffins and cookies were sold?

• 70 muffins and 30 cookies

• 50 muffins and 50 cookies

• 40 muffins and 60 cookies

• 60 muffins and 40 cookies

In a school, the ratio of boys to girls is 3:2. If there are 120 students in total, how many boys and how many girls are there?

• 72 boys and 48 girls

• 60 boys and 60 girls

• 80 boys and 40 girls

• 50 boys and 70 girls

A store sells two types of shirts: plain and graphic. A plain shirt costs $12 and a graphic shirt costs $15. If a customer buys a total of 10 shirts for $150, how many of each type did they buy?

• 3 plain shirts and 7 graphic shirts

• 5 plain shirts and 5 graphic shirts

• 10 plain shirts and 0 graphic shirts

• 0 plain shirts and 10 graphic shirts

A movie theater has two types of tickets: adult tickets for $12 and child tickets for $8. If the theater sold a total of 150 tickets for $1,560, how many adult and child tickets were sold?

• 60 adult tickets and 90 child tickets

• 90 adult tickets and 60 child tickets

• 100 adult tickets and 50 child tickets

• 80 adult tickets and 70 child tickets

A gym offers two membership plans. Plan A costs $30 per month and Plan B costs $20 per month plus a one-time fee of $100. If a person wants to spend the same amount on both plans after a certain number of months, how many months will it take?

• 5 months

• 12 months

• 10 months

• 8 months

A delivery service charges a base fee of $10 plus $2 per mile. Another service charges a base fee of $5 plus $3 per mile. How many miles must you travel for the costs to be the same?

• 5

• 10

• 3

• 7