Real-Life Systems of Equations: Interpret & Solve

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Another company charges $20 plus $0.25 per mile. How many miles must you drive for both companies to charge the same amount?

• 100 miles

• 250 miles

• 150 miles

• 200 miles

A school is selling tickets for a play. Adult tickets cost $10 each, and student tickets cost $5 each. If the school wants to raise $300, how many adult and student tickets must they sell if they sell twice as many student tickets as adult tickets?

• 15 adult tickets and 30 student tickets

• 10 adult tickets and 20 student tickets

• 20 adult tickets and 10 student tickets

• 5 adult tickets and 25 student tickets

Two friends are saving money to buy a video game. Friend A saves $5 a week, while Friend B saves $3 a week. If Friend A starts with $20 and Friend B starts with $10, how many weeks will it take for them to have the same amount saved?

• 5 weeks

• 10 weeks

• 3 weeks

• 7 weeks

A local bakery sells cupcakes for $2 each and cookies for $1 each. If they want to make $50 in one day and sell twice as many cookies as cupcakes, how many of each must they sell?

• 12 cupcakes and 24 cookies

• 10 cupcakes and 20 cookies

• 8 cupcakes and 16 cookies

• 15 cupcakes and 30 cookies

A gym charges a monthly fee of $40 plus $5 per class attended. Another gym charges a flat fee of $60 with no additional class fees. After how many classes will both gyms cost the same?

• 6

• 2

• 4

• 8

A farmer has a total of 100 animals consisting of cows and chickens. If cows are counted as 1 animal and chickens as 0.5 animals, and the farmer has 60 more chickens than cows, how many cows and chickens does the farmer have?

• 20 cows and 120 chickens

• 50 cows and 80 chickens

• 40 cows and 100 chickens

• 30 cows and 90 chickens

A bookstore sells novels for $15 each and magazines for $5 each. If a customer buys a total of 10 items and spends $100, how many novels and magazines did they buy?

• 5 novels and 5 magazines

• 6 novels and 4 magazines

• 3 novels and 7 magazines

• 4 novels and 6 magazines

A concert venue has two pricing options for tickets. Option A charges $50 per ticket, while Option B charges $30 per ticket plus a $20 service fee. How many tickets must be sold for both options to cost the same?

• 2

• 1

• 5

• 3

A landscaping company charges a flat fee of $100 plus $25 per hour of work. Another company charges $150 for the first hour and $20 for each additional hour. After how many hours will both companies charge the same amount?

• 8 hours

• 10 hours

• 4 hours

• 6 hours

A charity is selling two types of bracelets. The first type costs $3 each, and the second type costs $5 each. If they want to raise $150 and sell twice as many of the first type as the second type, how many of each type must they sell?

• First type: 20, Second type: 10

• First type: 30, Second type: 15

• First type: 15, Second type: 7

• First type: 26, Second type: 13