Write each ratio in simplest form.

Name __________________________________________________ Date _____________________ Block ________
Write each ratio in simplest form.
1. 150 cm: 100 cm
2. In the word FLASHLIGHT what is the ratio of
vowels to total letters?
3. The hockey team played 82 regular season
games last year. If they won 44 games, what
is the ratio of wins to losses?
4. In a bag of 325 red and blue marbles, 180 of
the marbles are red. Find the ratio of blue
marbles to red marbles.
Solve each proportion.
5.
8.
π‘₯
4
9
= 36
3
2+π‘₯
6.
9
= π‘₯+10
9.
π‘¦βˆ’3
3
5
π‘₯
=
𝑦+6
4
π‘₯
=8
11. The ratio of two supplementary angles is 4:1.
Find the measures of both angles.
7.
10.
4
π‘₯βˆ’7
6
= π‘₯βˆ’2
4π‘₯
6π‘₯+4
π‘₯
= 25
12. The ratio of the measures of the three angles
in a triangle is 10:3:7. Find the measure of the
largest angle.
13. The ratio of the measures of the sides of a
triangle is 21:8:14. If the perimeter of the
triangle is 215 feet, find the length of each
side.
14. The perimeter and the ratio of the length (L)
to the width (W) of a rectangle are given.
Find the length and width of the rectangle,
then find its area.
Perimeter = 56 cm
L:W = 6:1
Use the given ratio and information in the figure to find the value of the variable(s).
15.
AC:AB = 3:4
16.
A
C
x
A
AC:BC = 7:4
17.
21
Y
C
2x + 4
B
B
a + 20
Z
a–7
x+8
16
XY:YZ:XZ = 7:10:14
5c – 24
X
Write a proportion and solve the following word problems.
18. The exchange rate of Canadian dollars to U.S. Dollars was 1 to 0.85. A Canadian citizen paid
$12.28 in U.S. dollars for lunch while visiting Washington D.C. What was the price of the lunch in
Canadian dollars?
19. You purchase a scale model of a train. The model states that the scale is 1 inch : 5 feet.
a. If the model is 10 inches long, how long is the actual train?
b. The actual height of the train is 24.2 feet. How tall is the model?