Solving Linear Equations in Real-Life Word Problems

A store sells pencils for $0.50 each and erasers for $0.75 each. If a student buys a total of 10 items and spends $6.00, how many pencils and erasers did they buy?

• 5 pencils and 5 erasers

• 6 pencils and 4 erasers

• 4 pencils and 6 erasers

• 7 pencils and 3 erasers

Maria has twice as many marbles as John. If the total number of marbles they have together is 36, how many marbles does each person have?

• John has 15 marbles and Maria has 21 marbles.

• John has 12 marbles and Maria has 24 marbles.

• John has 18 marbles and Maria has 18 marbles.

• John has 10 marbles and Maria has 26 marbles.

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If a customer pays $50, how many miles did they drive?

• 250 miles

• 150 miles

• 200 miles

• 100 miles

A gardener is planting flowers in rows. If there are 5 rows and each row has the same number of flowers, and the total number of flowers is 45, how many flowers are in each row?

• 8

• 7

• 10

• 9

Tom is 4 years older than his sister. If the sum of their ages is 28, how old is Tom?

• 16

• 12

• 18

• 20

A recipe requires 3 cups of flour for every 2 cups of sugar. If a baker uses 9 cups of flour, how many cups of sugar are needed?

• 4 cups of sugar

• 8 cups of sugar

• 10 cups of sugar

• 6 cups of sugar

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 and made $400, how many adult and student tickets were sold?

• 20 adult tickets and 30 student tickets

• 40 adult tickets and 10 student tickets

• 30 adult tickets and 20 student tickets

• 25 adult tickets and 25 student tickets

A train travels at a speed of 60 miles per hour. How long will it take to travel 180 miles?

• 3 hours

• 4 hours

• 5 hours

• 2 hours

A box contains red and blue balls. If there are 12 red balls and the total number of balls is 30, how many blue balls are there?

• 20

• 15

• 18

• 10

A phone plan costs $30 per month plus $0.10 per text message. If a customer’s bill is $50 this month, how many text messages did they send?

• 250

• 150

• 200

• 100