Solving Proportions Word Problems 1

Multiple Choice

Two ratios that are equal are:

• similar sides
• unit rates
• congruent
• proportional

Drag and Drop

We solve proportions by ​ ​

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and ​

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Drag these tiles and drop them in the correct blank above

cross multiplying

dividing

cross dividing

multiplying

cross adding

subtracting

cross subtracting

adding

Hotspot

Choose the two numbers we will cross multiply

Multiple Choice

A car travels 120 miles in 3 hours (with a constant speed).  How long will it take a car to travel 200 miles?

What is the correct proportion to solve this problem?

• $$\frac{200\ miles}{3\ hours}=\ \frac{?\ hours}{120\ miles}$$

• $$\frac{120\ miles}{3\ hours}=\frac{200\ miles}{?\ hours}$$

Multiple Choice

A car travels 120 miles in 3 hours (with a constant speed).  How long will it take a car to travel 200 miles?

$$\frac{120\ miles}{3\ hours}=\frac{200\ miles}{?\ hours}$$

• 6 hours
• 5 hours
• 4 hours
• 1 hour

Multiple Choice

The cost of 50 apples is $25.00.  How much would 75 apples cost?

• $$\frac{25\ dollars}{50\ apples}=\frac{?\ dollars}{75\ apples}$$

• $$\frac{75\ apples}{25\ dollars}=\frac{?\ dollars}{50\ apples}$$

Multiple Choice

The cost of 50 apples is $25.00.  How much would 75 apples cost?

$$\frac{25\ dollars}{50\ apples}=\frac{?\ dollars}{75\ apples}$$

• $12.50
• $50.00
• $37.50
• $75.00

Multiple Choice

It takes Mike 18 minutes to finish reading 4 pages of a book.  If Mike reads each page at the same pace, how long does it take for him to finish reading 30 pages?

• $$\frac{30\ pages}{4\ \min}=\frac{?\ \min}{18\ pages}$$

• $$\frac{18\ \min}{4\ pages}=\frac{?\ \min}{30\ pages}$$

Multiple Choice

It takes Mike 18 minutes to finish reading 4 pages of a book.  If Mike reads each page at the same pace, how long does it take for him to finish reading 30 pages?

$$\frac{18\ \min}{4\ pages}=\frac{?\ \min}{30\ pages}$$

• 125 minutes
• 162 minutes
• 72 minutes
• 135 minutes

Multiple Choice

Nathan packs 39 boxes in 3 hours for UPS.  If Nathan packs the same number of boxes every hour, how many boxes can he pack in his 8-hour shift?

• $$\ \frac{39\ boxes}{3\ hours}=\ \frac{?\ boxes}{8\ hours}$$

• $$\frac{39\ boxes}{8\ hours}=\frac{?\ boxes}{3\ hours}$$

Multiple Choice

Nathan packs 39 boxes in 3 hours for UPS.  If Nathan packs the same number of boxes every hour, how many boxes can he pack in his 8-hour shift?

• 104 boxes
• 117 boxes
• 13 boxes
• 78 boxes

Multiple Choice

The weight of 13 candy bars is 26 ounces.  If each candy bar weighs the same amount, what is the weight of 35 candy bars?

$$\frac{13\ candy\ bars}{26\ oz}=\frac{35\ candy\ bars}{?\ oz\ }$$

• 78 ounces
• 52 ounce
• 70 ounces
• 2 ounce

Multiple Choice

If 24 loaves of bread cost $48.00, how much would 10 loaves of bread cost?

$$\frac{24\ loaves}{48\ dollars}=\ \frac{10\ loaves}{?\ dollars}$$

• $12.00
• $24.00
• $2.00
• $20.00

Multiple Choice

A chef made 30 donuts in 60 minutes.  How long would it take him to make 90 donuts?

$$\frac{30\ donuts}{60\ \min}=\ \frac{90\ donuts}{?\ \min}$$

• 15 minutes
• 180 minutes
• 120 minutes
• 240 minutes

Multiple Choice

Four big water bottles can hold 8 gallons of water.  How much water can 3 big water bottles hold?

$$\frac{8\ gallons}{4\ water\ jugs}=\frac{?\ gallons}{3\ water\ jugs}$$

• 6 gallons
• 4 gallons
• 12 gallons
• 2 gallons

Multiple Choice

The total weight of 15 bags of groceries is 45 pounds.  If each bag weighs the same amount, how much would 7 bags of groceries weigh?

$$\frac{15\ bags}{45\ lbs}=\ \frac{7\ bags}{?\ lbs}$$

• 22.5 pounds
• 3 pounds
• 21 pounds
• 35 pounds

Multiple Choice

It took Nora 10 hours to walk a 30-mile trail.  How long did it take her to walk 9 miles at the same speed?

$$\frac{\ \ \ \ \ \ \ \ \ \ \ \ \ \ }{ }=\frac{\ \ \ \ \ \ \ \ \ \ \ \ \ \ }{ }$$

• 4 hours
• 1 hour
• 5 hours
• 3 hours

Multiple Choice

A photographer can take 12 pictures in 5 minutes.  

How long will it take him to take 132 pictures?

$$\frac{\ \ \ \ \ \ \ \ \ \ \ \ \ \ }{ }=\frac{\ \ \ \ \ \ \ \ \ \ \ \ \ \ }{ }$$

• 50 minutes
• 55 minutes
• 60 minutes
• 65 minutes

Multiple Choice

There were 5 ice cream cones for every 3 brownies sold at the ice cream shop. If there were 24 brownies sold, how many ice cream cones were sold?

$$\frac{\ \ \ \ \ \ \ \ \ \ \ \ \ \ }{ }=\frac{\ \ \ \ \ \ \ \ \ \ \ \ \ \ }{ }$$

• 8
• 15
• 40
• 29

Multiple Choice

A scale drawing of a billboard uses the scale 4 cm : 9 ft. The length of the billboard in the drawing is 11 cm. How long is the actual billboard?

$$\frac{\ \ \ \ \ \ \ \ \ \ \ \ \ \ }{ }=\frac{\ \ \ \ \ \ \ \ \ \ \ \ \ \ }{ }$$

• 13 ft
• 20.75 ft
• 24.75 ft
• 22 ft