Real-Life Systems of Equations: Solve & Interpret

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

• 100 miles

• 250 miles

• 150 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 of each type of ticket must they sell if they sell a total of 40 tickets?

• 20 adult tickets and 20 student tickets

• 25 adult tickets and 15 student tickets

• 10 adult tickets and 30 student tickets

• 30 adult tickets and 10 student tickets

Two friends are saving money for a concert. Friend A saves $15 a week, while Friend B saves $10 a week. If Friend A starts with $50 and Friend B starts with $30, how many weeks will it take for them to have the same amount saved?

• 10 weeks

• 5 weeks

• 3 weeks

• 7 weeks

A local bakery sells cupcakes for $3 each and cookies for $2 each. If they want to make $120 from selling a total of 50 items, how many cupcakes and cookies do they need to sell?

• 15 cupcakes and 35 cookies

• 20 cupcakes and 30 cookies

• 25 cupcakes and 25 cookies

• 10 cupcakes and 40 cookies

A gym charges a monthly fee of $40 plus $5 per class attended. Another gym charges a flat fee of $50 with no additional class fees. How many classes must you attend for the costs to be the same?

• 2

• 4

• 3

• 1

A farmer has two types of fruit trees: apple trees and orange trees. Each apple tree produces 50 apples, and each orange tree produces 30 oranges. If the farmer wants to produce a total of 600 apples and oranges, how many of each type of tree should he plant if he plants a total of 15 trees?

• 10 apple trees and 5 orange trees

• 6 apple trees and 9 orange trees

• 7 apple trees and 8 orange trees

• 5 apple trees and 10 orange trees

A bookstore sells novels for $12 each and textbooks for $25 each. If they want to make $300 from selling a total of 20 books, how many novels and textbooks do they need to sell?

• 0 novels and 20 textbooks

• 15 novels and 5 textbooks

• 20 novels and 0 textbooks

• 10 novels and 10 textbooks

A taxi company charges a base fare of $2.50 plus $1.50 per mile. Another taxi company charges a flat rate of $10 for any distance. How many miles must you travel for the costs to be the same?

• 7 miles

• 5 miles

• 3 miles

• 10 miles

A movie theater sells adult tickets for $12 and child tickets for $8. If they want to sell a total of 100 tickets and make $800, how many adult and child tickets must they sell?

• 50 adult tickets and 50 child tickets

• 10 adult tickets and 90 child tickets

• 25 adult tickets and 75 child tickets

• 0 adult tickets and 100 child tickets

A charity is selling two types of gift baskets: small baskets for $25 and large baskets for $40. If they want to raise $1,000 by selling a total of 30 baskets, how many of each type must they sell?

• 10 small baskets and 20 large baskets

• 15 small baskets and 15 large baskets

• 25 small baskets and 5 large baskets

• 20 small baskets and 10 large baskets