Ratio Reasoning 1
Baxter drives a delivery truck. He travels 399 km in 7 h. At what speed does Baxter drive, in kilometers per hour?
57 km per hour
Natalena drives a moving van. She travels 372 mi in 6 h. At what speed does Natalena drive, in miles per hour?
62 miles per hour
A catering company sells an 8 lb container of food for $54. What is the unit rate for this situation? What does this rate mean?
$6.75. This rate is the cost of each pound of food.
A paint store sells 4 pt of paint for $19. What is the unit rate for this situation? What does this rate mean?
$4.75. This rate is the cost of each pint of paint.
Roberto makes dumplings. Today, it takes him 54 min to make 18 dumplings. He plans to make dumplings for 66 min tomorrow and to work at the same rate. How many dumplings will Roberto make tomorrow?
22 dumplings.
Karla makes paper airplanes. Today, it takes her 32 min to make 16 paper airplanes. She plans to make paper airplanes for 96 min tomorrow and to work at the same rate. How many paper airplanes will Karla make tomorrow?
48 airplanes.
An art gallery sells 1,400 paintings. The catalog states that 70% of the paintings are by local painters. How many of these paintings are by local painters?
980
Ella makes cheesy broccoli casseroles. Her recipe calls for 7 cups of broccoli per 2 cups of cheese. How many cups of broccoli are needed for 42 cups of cheese?
147
At a fabric store, metallic ribbon costs $16 for 4 ft. White ribbon is priced at 3 ft per dollar. Use rates to show which kind of ribbon is more expensive per foot.
Metallic ribbon costs $4 per ft. White ribbon costs $0.33 per ft. Metallic is more expensive.
At a farmers market, a package of pears weighs 3 lb and costs $9. Bananas are priced at 4 lb per dollar. Use rates to show which kind of fruit is more expensive per pound.
Pears are $3 per pound. Bananas are $0.75 per pound. Pears are more expensive.
Ophelia buys a package of paper napkins. The paper napkins in the package weigh 580 g. The label on the package says Made with 35% recycled paper. How many grams of recycled paper is used to make Ophelia’s paper napkins?
203
Francis buys a package of 450 plastic forks. He uses 315 of the plastic forks. What percent of the plastic forks did Francis use?
70%
Richard and Nestor create paintings. Richard creates 40 paintings in 28 days. Nestor creates 45 paintings in 5 weeks. Who creates paintings at a faster rate?
Richard 10 per week, Nestor 9 per week. Richard paints at a faster rate.
Chanasia buys a plastic bucket. The bucket weighs 460 g. The label on the bucket says Made with 20% recycled plastic. How many grams of recycled plastic is used to make Chanasia’s bucket?
92
Elizabeth buys a package of 360 marbles. She gives away 216 of the marbles. What percent of the marbles did Elizabeth give away?
60%
A theater group has 350 members. So far, 2/5 of the members have paid their yearly fees. What percent of the members have paid their yearly fees? How many members have paid their yearly fees?
40%. 140 members.
Simmons and Magda do push-ups for exercise. Simmons does 42 push-ups in 360 s. Magda does 24 push-ups in 3 min. Who does push-ups at a faster rate?
Simmons 7 per minute, Magda 8 per minute. Magda does more push-ups at a faster rate.
Mr. Hildebrant spends $76 in a gift shop. This is 80% of the money he planned to spend in the gift shop. How much money, in dollars, did Mr. Hildebrant plan to spend in the gift shop?
$95
A soccer club has 320 members. So far, 3/4 of the members have helped clean up their practice park. What percent of the members have helped clean up the park? How many members have helped clean up the park?
75%. 240 members.
Mrs. Doan spends $36 at a carnival. This is 75% of the money she brings to the carnival. How much money does Mrs. Doan bring to the carnival?
$48
Monica is a professional musician who practices clarinet for the same amount of time every day. After she practices clarinet for 45 min on Wednesday, she has finished 18% of her daily clarinet practice. How many more minutes does Monica practice clarinet on Wednesday?
Monica practices clarinet for 205 more minutes on Wednesday.
Victor makes cinnamon waffles. His recipe calls for 3 tsp of cinnamon per 8 tsp of sugar. How many teaspoons of sugar are needed for 96 tsp of cinnamon?
256
A machine holds a spool with 32 yd of ribbon. The machine uses ribbon at a rate of 4 ft per min. How long does it take the machine to use all the ribbon from the spool? (1 yd = 3 ft)
It takes the machine 24 minutes to use all the ribbon.
Theo practices yoga for the same amount of time every day. After he practices yoga for 18 min on Saturday, he has finished 24% of his daily yoga practice. How many more minutes does Theo practice yoga on Saturday?
Theo practices yoga for 57 more minutes on Saturday.
A barrel holds 21 qt of oil. Trina drains the barrel at a rate of 6 c per min. How long does it take her to empty the barrel?