Solving Systems: Mixture Proportions in Real-Life Scenarios

A fruit seller has two types of apples: red and green. The red apples cost $2 each and the green apples cost $3 each. If the seller has a total of 50 apples worth $120, how many of each type does he have?

• 15 red apples and 35 green apples

• 30 red apples and 20 green apples

• 40 red apples and 10 green apples

• 25 red apples and 25 green apples

A chemist is mixing two solutions. Solution A contains 30% salt and Solution B contains 10% salt. If the chemist wants to create 200 mL of a solution that is 20% salt, how much of each solution should he use?

• 100 mL of Solution A and 100 mL of Solution B

• 0 mL of Solution A and 200 mL of Solution B

• 200 mL of Solution A and 0 mL of Solution B

• 150 mL of Solution A and 50 mL of Solution B

A bakery sells two types of cookies: chocolate chip and oatmeal. The chocolate chip cookies cost $1.50 each and the oatmeal cookies cost $1.00 each. If a customer buys 10 cookies for a total of $12, how many of each type did the customer buy?

• 2 chocolate chip cookies and 8 oatmeal cookies

• 3 chocolate chip cookies and 7 oatmeal cookies

• 5 chocolate chip cookies and 5 oatmeal cookies

• 4 chocolate chip cookies and 6 oatmeal cookies

A gardener is planting two types of flowers: roses and tulips. Roses cost $5 each and tulips cost $3 each. If the gardener buys a total of 15 flowers for $60, how many of each type did he buy?

• 9 roses and 6 tulips

• 7 roses and 8 tulips

• 8 roses and 7 tulips

• 10 roses and 5 tulips

A school is selling two types of tickets for a concert: adult tickets for $10 and student tickets for $5. If they sold a total of 100 tickets for $700, how many adult and student tickets were sold?

• 30 adult tickets and 70 student tickets

• 40 adult tickets and 60 student tickets

• 20 adult tickets and 80 student tickets

• 50 adult tickets and 50 student tickets

A painter is mixing two colors of paint: blue and yellow. The blue paint costs $8 per gallon and the yellow paint costs $4 per gallon. If the painter buys a total of 5 gallons of paint for $32, how many gallons of each color did he buy?

• 3 gallons of blue paint and 2 gallons of yellow paint

• 1 gallon of blue paint and 4 gallons of yellow paint

• 4 gallons of blue paint and 1 gallon of yellow paint

• 2 gallons of blue paint and 3 gallons of yellow paint

A store sells two types of drinks: soda and juice. Soda costs $2 per bottle and juice costs $3 per bottle. If a customer buys a total of 8 bottles for $20, how many bottles of each drink did the customer buy?

• 5 bottles of soda and 3 bottles of juice

• 6 bottles of soda and 2 bottles of juice

• 3 bottles of soda and 5 bottles of juice

• 4 bottles of soda and 4 bottles of juice

A car rental company has two types of cars: economy and luxury. The economy cars rent for $30 per day and the luxury cars rent for $50 per day. If a customer rents a total of 4 cars for $160, how many of each type did the customer rent?

• 1 economy car and 3 luxury cars

• 2 economy cars and 2 luxury cars

• 3 economy cars and 1 luxury car

• 4 economy cars and 0 luxury cars

A restaurant offers two types of pasta dishes: spaghetti and fettuccine. Spaghetti costs $12 and fettuccine costs $15. If a customer orders a total of 5 dishes for $63, how many of each type did the customer order?

• 4 spaghetti and 1 fettuccine

• 5 spaghetti and 0 fettuccine

• 2 spaghetti and 3 fettuccine

• 3 spaghetti and 2 fettuccine

A school is organizing a field trip and has two types of transportation: buses and vans. Buses cost $200 each and vans cost $100 each. If the school rents a total of 6 vehicles for $1,200, how many buses and vans did they rent?

• 4 buses and 2 vans

• 3 buses and 3 vans

• 6 buses and 0 vans

• 5 buses and 1 van