Mathematics Type 2 Unit Rates and Ratios

Vocabulary and comparative unit rate flashcards derived from the Type 2 mathematics practice worksheet.

Problem A: Large Pizza Unit Rates

Comparing $\\text{\$27}$ for $4$ large pizzas ($\\text{\$6.75}$ per pizza) and $\\text{\$32}$ for $5$ large pizzas ($\\text{\$6.40}$ per pizza), $\\text{\$32}$ for $5$ large pizzas is the better buy.

Problem B: Apple Unit Rates

Comparing $2$ pounds of apples for $\\text{\$4.30}$ ($\\text{\$2.15}$ per pound) and $3$ pounds of apples for $\\text{\$5.76}$ ($\\text{\$1.92}$ per pound), $3$ pounds of apples for $\\text{\$5.76}$ is the better buy.

Problem C: Raccoon Population Density

Town A has $480$ raccoons in $60$ square miles ($8$ raccoons per square mile), and Town B has $380$ raccoons in $40$ square miles ($9.5$ raccoons per square mile). Town B has more raccoons in the same number of square miles.

Problem D: Pizza Distribution Per Student

Mrs. White bought $4$ pizzas for $16$ students ($\frac{4}{16} = 0.25$ pizza per student), and Mr. Green bought $5$ pizzas for $24$ students ($\frac{5}{24} \approx 0.208$ pizza per student). A student in Mrs. White's class got more pizza.

Problem E: Band Popularity Ratios

At Mount Harris School, the ratio of students in band to students not in band is $3$ to $5$ ($\frac{3}{5} = 0.6$). At Lakeville School, the ratio of students in band to students not in band is $5$ to $7$ ($\frac{5}{7} \approx 0.714$). Band is more popular at Lakeville School.

Problem F: Paper Towel Cost Comparison

Sandy Paper Towels provides $12$ rolls of $60$ sheets ($720$ total sheets) for $\\text{\$43.20}$ ($\\text{\$0.06}$ per sheet), and Sheet Cleaners provides $10$ rolls of $80$ sheets ($800$ total sheets) for $\\text{\$48.00}$ ($\\text{\$0.06}$ per sheet).