Solving Real-World Problems with Substitution & Elimination

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

• 6 pencils and 4 erasers

• 4 pencils and 6 erasers

• 5 pencils and 5 erasers

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $5 each week, while Jamie saves $3 each week. If Alex has saved $20 more than Jamie after a certain number of weeks, how many weeks have they been saving?

• 12 weeks

• 15 weeks

• 8 weeks

• 10 weeks

A farmer has chickens and cows. If the total number of animals is 30 and the total number of legs is 100, how many chickens and cows does the farmer have?

• 20 chickens and 10 cows

• 10 chickens and 20 cows

• 5 chickens and 25 cows

• 15 chickens and 15 cows

In a school, the number of boys is twice the number of girls. If there are 60 students in total, how many boys and girls are there?

• 50 boys and 10 girls

• 25 boys and 35 girls

• 40 boys and 20 girls

• 30 boys and 30 girls

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

• 250 miles

• 150 miles

• 200 miles

• 100 miles

A recipe requires 2 cups of flour and 3 cups of sugar. If you want to make a batch that uses 12 cups of flour, how much sugar will you need?

• 12 cups of sugar

• 15 cups of sugar

• 18 cups of sugar

• 10 cups of sugar

A theater has two types of tickets: adult tickets for $12 and child tickets for $8. If the total revenue from selling 50 tickets is $480, how many adult and child tickets were sold?

• 25 adult tickets and 25 child tickets

• 15 adult tickets and 35 child tickets

• 20 adult tickets and 30 child tickets

• 10 adult tickets and 40 child tickets

In a class, the ratio of boys to girls is 3:2. If there are 25 students in total, how many boys and girls are there?

• 20 boys and 5 girls

• 12 boys and 13 girls

• 15 boys and 10 girls

• 10 boys and 15 girls

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

• 5 novels and 10 magazines

• 10 novels and 5 magazines

• 7 novels and 8 magazines

• 3 novels and 12 magazines

A gardener has a total of 40 plants, consisting of roses and tulips. If the number of roses is 4 more than twice the number of tulips, how many roses and tulips does the gardener have?

• Roses: 24, Tulips: 16

• Roses: 28, Tulips: 12

• Roses: 32, Tulips: 8

• Roses: 20, Tulips: 20