PRACTICE 7-1 (DNG PAGE 379)
Ratios and Proportions
DNG - page 379
PRACTICE 7-1: Ratios and Proportions
1. The Washington Monument in Washington, D.C., is about 556 ft. tall. A three-dimensional
puzzle of the Washington Monument is 24 in. tall. What is the ratio of the puzzle to the
height of the real monument?
puzzle height in.

actual height  ft 
556
 1
x  161 
 8
5
y  16 
8

1
278
5
in
8
 18 ft
or 1: 278
 10 ft
1
in
2
= 18 ft by 10 ft
x ft 16 ft

1
1 in 1 in.
8
 1 ft 


ft  12 in 
24 in.
1
1
in
8
5
in
8
3
in
16
8 ft  1 in
 10 ft
 3 ft
2
 10 ft
 18 ft
1 in
7
in
8
 16 ft
= 18 ft by 14 ft
1
1 in
8
7
y  16   14 ft
8
= 18 ft by 16 ft
= 8 ft by 8 ft
y  161in  16 ft
1
y  16 
 2
 14 ft
 18 ft
= 3 ft by 10 ft
 8 ft
3
y  16 
 16 
 3 ft
Algebra
true
true
true
Recall:
Properties of Proportion
false
false
false
true
true
false
Algebra
 11 
x  6 
2
x  33
x  12
x  12
x 2  232
7
x  3 
5
21
x
5
4 x  3  x  2
x 11

6
2
6
  22  x
 11 
9
x  4 
 3
 11 
x  8 
3
x  64
2
x
x 8
7 x  5  x  1
7 x  5x  5
4 x  3x  6
2x  5
x6
5
x
2
5  x  1  3x
5 x  5  3x
2x   5
x 
5
2
88
3
70 ft
25 ft

14
5 or 14 : 5
18 cm
12 cm
or
1 1 
 1 
3 x   8 y  
 3y 
 3 y1 

3
2
x
y

8
3

3:2
1
1
3 ft 12 in / 1 ft 
21 in
1
1
1
12
7
a7
b 7

 
 
7b
13  b 1
a 7

b 13
or
12 : 7