# Ratio Word Problems

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```					Ratio Word Problems
Example 1
Jake finished 24 math problems in one
hour. At this rate, how many hours will it
take him to complete 72 problems?
problems      24 72

hours        1   x        Answer: 3 hours
24 x  72
x 3
TOO #1
   Rating movies in 1994, critic Gene Siskel gave
four thumbs up to every five thumbs up given
by his partner Roger Ebert. If Mr. Siskel gave
thumbs up to 68 movies, how many movies did
Mr. Ebert rate favorably?
Siskel        4 68

Ebert         5 x        Answer: 85 movies
4x  340
x  85
TOO #2
   When a pair of blue jeans is made, the leftover
denim scraps can be recycled to make
stationary, pencils, and more denim. One
pound of denim is left after making every five
pairs of jeans. How many pounds of denim
would be left from 250 pairs of jeans?
pounds         1   x

pairs         5 250       Answer: 50 pounds
5x  250
x  50
TOO #3
   A flea, usually less than an eighth of an inch long, can
8 inches. If humans could jump in proportion to the
flea, it would take only nine leaps to go one mile! At
this rate, how many leaps would it take a human to
travel 693 miles from Louisville, Kentucky to Norfolk,
Virginia?
leap             9   x

miles            1 693         Answer: 6237 leaps
x  6237
TOO #4
   To make a model of the Victoria River, Zoe
used 2.5 inches of clay for every 7 miles of the
actual river’s length. Her model river was 50
inches long. How long is the Victoria River?
inches         2.5 50

miles          7   x
2.5x  350     Answer: 140 miles
x  140
Example
   A trash can casts a shadow 2 feet long at
the same time that a building casts a
shadow of 8 feet. If the trash can is 3.5
feet tall, how tall is the building?

x
3.5

2                         8
64 72
        x  71.1in
Example 2
x 80            5 ft11in
72x  5120the same time
 I cast a shadow of 6 feet at
as my brother casts a shadow of 6 feet 8
inches. If I am 5 foot 4 inches tall,
approximately how tall is my brother?

All units must
be the same!!
5ft 4in          Ft*12=in
x
64 in
80 in
6 ft 72 in               6ft 8in
TOO for Homework
   A tree casts a shadow 40 ft long. At the
same time, a boy 5’6” tall casts a shadow
8 ft long. Find the height of the tree IN
FEET!
Homework
   Similar Triangles
 Draw a picture!!!!
 Convert to the same units

   Ratio Word Problems
 Write   your word ratio first!!!

```
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