Solving Real-Life Problems with Linear Equations

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?

• 7 pencils and 3 erasers

• 4 pencils and 6 erasers

• 6 pencils and 4 erasers

• 5 pencils and 5 erasers

Maria has twice as many marbles as John. If the total number of marbles they have together is 30, how many marbles does each person have?

• John has 10 marbles and Maria has 20 marbles.

• John has 5 marbles and Maria has 25 marbles.

• John has 15 marbles and Maria has 15 marbles.

• John has 20 marbles and Maria has 10 marbles.

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If a customer pays $35, how many miles did they drive?

• 120 miles

• 50 miles

• 100 miles

• 75 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

• 10

• 7

• 9

Tom is 3 years older than his sister. If the sum of their ages is 27, how old is Tom?

• 15

• 18

• 21

• 12

A recipe requires 2 cups of flour for every 3 cups of sugar. If a baker uses 8 cups of sugar, how many cups of flour does he need?

• 4 cups of flour

• 5.33 cups of flour

• 6 cups of flour

• 3 cups of flour

A school is organizing a field trip. The cost per student is $15, and there are 20 students going. If the school has a budget of $300, will they have enough money?

• No, they will need more money.

• Yes, but only for 15 students.

• No, they can only afford 10 students.

• Yes, they have enough money.

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

• 3 hours

• 4 hours

• 2 hours

• 5 hours

A book costs $12, and a magazine costs $5. If a person buys 3 books and some magazines for a total of $51, how many magazines did they buy?

• 5

• 2

• 3

• 1

A swimming pool can be filled in 4 hours with a hose. If the hose is turned on for 2 hours, how much of the pool is filled?

• 1

• 3/4

• 1/2

• 1/4