6.5B Solve problems involving ratios and rates

Misty wants to save money to purchase a new bicycle that costs $279. She opens a savings account and deposits $7 per week. Based on this information, which of the following is a reasonable conclusion?

• Misty will save more than 1/2 the cost of the bicycle in 20 weeks.

• Misty will save less than $100 after 15 weeks.

• Misty will save less than 1/3 the cost of the bicycle in 14 weeks.

• Misty will save more than $150 in 21 weeks.

Georgia mixes 2 tablespoons of yellow paint and 3 tablespoons of blue paint to make green paint. Braylee makes green paint by mixing 3 tablespoons of yellow paint and 4 1/2 tablespoons of blue paint. Which statement is true about the green paints mixed by Georgia and Braylee?

• Braylee’s green paint is more yellow than Georgia’s green paint.

• Georgia’s green paint is more blue than Braylee’s green paint.

• Both Braylee’s and Georgia’s green paint mixtures contain an equivalent ratio of yellow and blue paint.

• It is not possible to compare the green paints mixed by Braylee and Georgia.

Samuel purchases a half-dozen cupcakes for $4.25. Which expression could be used to determine the price for 34 cupcakes?

• 4.25 ÷ 0.5 × 34

• 4.25 ÷ 6 × 34

• 6 ÷ 4.25 × 34

• 0.5 ÷ 4.25 × 34

A local grocery store is promoting a sale on four brands of cereal. Which of the following is the best buy?

• Brand W, because the cost per ounce is $0.199

• Brand X, because it is the least expensive

• Brand Y, because the largest box is always the best buy

• Brand Z, because the unit cost is the least

Three neighbors each decide to plant a garden of petunias and daffodils. The table below shows the quantity of flowers in each garden. Who has a greater ratio of petunias to daffodils in their garden?

• Mrs. Haskell

• Mr. Myer

• Mrs. Peacock

• The ratios for all three neighbors are the same.

Mosab plans a trip to visit his grandparents. The online directions show four possible routes. He wants to get there as quickly as possible. Which route should Mosab take?

• Route 1, because the average speed is the fastest

• Route 2, because it takes 2 hours

• Route 3, because it takes the least amount of time

• Route 4, because the distance is the shortest

The table shows the time spent reading a novel and the number of pages read by each of four friends. Which friend reads at the slowest rate?

• Trey

• Luis

• Ethan

• Roderick

Betty has an order for 160 hair bows. She can make 16 hair bows per day. Which is a reasonable conclusion?

• Betty completes 3/4 of the order in 1 week.

• After 3 days of work, Betty completes 1/4 of the order.

• Exactly half of the hair bows will be completed in 6 days.

• Betty makes 1/4 of the bows for her order in 2 1/2 days.

Victor purchases 3 movie tickets for $18.75 at the Movie Hut. Which theater sells tickets for the same price per ticket?

• Star Cinema

• Mega Movie Plex

• Monroe Theater

• Dave’s Drive-In

Mrs. Yearty makes a saltwater solution using a 2 to 1 ratio of water to salt. Mr. Yearty suggested a water to salt ratio of 3 to 2. Which statement is true?

• Mrs. Yearty’s saltwater is more salty than Mr. Yearty’s saltwater.

• Mr. Yearty’s saltwater is more salty than Mrs. Yearty’s saltwater.

• Both Mr. and Mrs. Yearty’s saltwater solutions contain an equal water to salt ratio.

• The two saltwater solutions cannot be compared.