Equivalent Ratios
How Much for One?
Constant Speed
Comparing Situations
Random
100
A recipe for cinnamon rolls uses 3 tablespoons of sugar per 2 teaspoons of cinnamon for the filling. How much cinnamon and sugar is used in 3, 4, and 5 batches?

3 batches: 9 tbsp. sugar; 6 tsp. cinnamon

4 batches: 12 tbsp. sugar; 8 tsp. cinnamon

5 batches: 15 tbsp. sugar; 10 tsp. cinnamon

100

5 pounds of tomatoes cost $17.5. How much does 1 pound of tomatoes cost?

$3.50

(17.5/5 = 3.5)

100

Jerry ran 15 meters in 3 seconds. Elaine rain 14 meters in 3 seconds. Who rain faster?

Jerry

100

A slug travels 4 cm in 4 seconds. A snail travels 7 centimeters in 8 seconds. Which is traveling faster?

The slug

Slug: 4 cm/4 seconds = 1 cm/second

Snail: 7 cm/8 seconds = 1.14 cm/second

100

Who announced their intention to leave the Royal Family in the United Kingdom?

Meghan Markle and Prince Harry

200

One batch of meatloaf contains 3 pounds of beef and 1/2 cup of breadcrumbs. How much beef and bread is used in 3, 4, and 5 batches?

3 batches: 9 pounds beef; 1.5 (3/2) cups breadcrumbs

4 batches: 12 pounds beef; 2 cups breadcrumbs 

5 batches: 15 pounds beef; 2.5 (5/2) cups breadcrumbs

200

5 movie tickets cost $65. What is the cost of 7 movie tickets?

$91

(65/5 = 13; 13 x 7 = 91)

200

A scooter travels 45 feet in 3 seconds at a constant speed. What is the speed of the scooter in feet per second?

15 feet/second

(45/3 = 15)

200

J.D. blended 3 scoops of chocolate ice cream with 3 cups of milk. Turk blended 5 scoops of chocolate ice cream with 6 cups of milk. Whose milkshake was more chocolate-y?

J.D.'s

J.D.: 3 scoops chocolate ice cream/3 cups of milk = 1:1 ratio

Turk: 5 scoops of chocolate ice cream/6 cups of milk = 1:1.2 OR .833:1 ratio

200

Who is playing in the AFC championship this weekend?

The Tennessee Titans and Kansas City Chiefs

300
A recipe for tropical fruit punch says, "Combine 3 cups of pineapple juice with 4 cups of orange juice." If 12 cups of pineapple juice are used with 15 cups of orange juice, will the recipe taste the same?

No; it will taste more pineapple-y

300

18 eggs cost $3.60. What is the cost per egg?

20 cents (.20)

(3.6/18 = .2)

300

A scooter travels 50 feet in 4 seconds. A skateboard travels 70 feet in 7 seconds. Is the skateboard going faster, slower, or the same speed as the scooter?

The skateboard is going slower than the scooter.

Scooter: 50 feet/4 seconds = 12.5 feet/second

Skateboard: 70 feet/7 seconds = 10 feet/second

300

There are 3 mixtures of light blue paint.

Mixture A: Uses 4 cups of blue paint and 2 cups of white paint.

Mixture B: Uses 14 cups of blue paint and 8 cups of white paint.

Mixture C: Uses 24 cups of blue paint and 15 cups of white paint.

Order the mixtures from lightest blue to darkest blue.

Mixture Mixture C, Mixture B, Mixture A 

Mixture A: 16:8; 30:15

Mixture B: 14:8; 26.25:15

Mixture C: 24:15

300

What baseball team got in trouble for cheating?

Houston Astros

400

One batch of pink paint uses 3 cups of red paint and 9 cups of white paint. Mai used a large amount of pink paint using 27 cups of red paint. How many batches of pink paint did she make?

She made 9 batches

400

Headbands cost $1 for 5. At this rate, how much will 12 headbands cost?

$2.40

(1/5 = .2; .2 x 12 = 2.4)

400

A cargo ship traveled 125 miles in 5 hours at a constant speed. How far did the cargo ship travel in one hour?

25 miles

(125 miles/5 hours = 25 miles/hour)

400

Flower bulbs are sold at Store A at a rate of 6 for $16. They are sold at Store B at a rate of 7 for $17. Which is a better deal?

Store B is a better deal

Store A: 6 bulbs/$16 = 1 bulb/$2.67 or .375 bulbs/$1

Store B: 7 bulbs/$17 = 1 bulb/$2.43 or .41 bulbs/$1

400

A teenager recently found what while interning at NASA?

A new planet

500

A recipe for art paste says, "For every 1.75 pints of water, mix in 6.5 cups of flour." How much flour should be used with 10.5 pints of water?

39

(10.5/1.75 = 6; 6 x 6.5 = 39)

500

At Costco, I can buy a 62 oz container of M&Ms for $12. On Amazon, I can buy a box of 36 1.69-ounce single M&Ms pouches for $22.99. Which is a better deal?

Costco is the better deal.

(62 oz/$12 = 5.1667 oz/$1)

(36 x 1.69 oz = 60.84 oz; 60.84 oz/$22.99 = 2.646 oz/$1)

($12/62 oz = $.19/oz)

$22.99/60.84 oz = $.38/oz)

500

Seth and Ryan both ran for 15 seconds, each at their own constant speed. Seth ran 45 meters and Ryan ran 52.5 meters. They want to run a race in which both finish when the timer reads 45 seconds. Who should get a head start and how long should the head start be?

Seth needs a 22.5 meter head start (7.5 seconds)

Seth: 45 meters/15 seconds = 3 meters/second; 3 meters x 45 = 135 meters/45 seconds

Ryan: 52.5 meters/15 seconds = 3.5 meters/second; 157.5 meters/45 seconds

500

Plane A travels 3,300 miles in 6 hours.

Plane B travels 4,200 miles in 8 hours.

Which plane will travel farther in 10 hours?

Plane A will travel farther.

Plane A: 3300 miles/6 hours = 550 miles/hour; 5,550 miles in 10 hours

Plane B: 4200 miles/8 hours = 525 miles/hour; 5250 miles in 10 hours

500

According to a new study, what can provide immediate pain relief?

 Doing something kind for others.