Ratio and Proportions Applications and Problem Solving
Solve and simplify.
1) In our Physics class, there are 15 boys and 9 girls.
a) What is the ratio of the girls to boys?
b) What is the ratio of boys to girls?
2) Below is a chart about the instruments the people in United States are playing. Find the ratio of
a) Piano players to violin players.
b) Drum players to organ players.
c) Guitar players to clarinet players.
d) Organ players to guitar players.
Instrument Number of people
who play
Piano
22 million
Guitar
20 million
Organ
6 million
Clarinet
4 million
Drums
3 million
Violin
2 million
3) Would you prefer the ratio of your income to your friend’s income to be 1:3 or 3:1? Explain why.
4)
18 feet
21 feet
a) Find the ratio of the shortest side to the medium side.
b) Find the ratio of the longest side to the shortest side.
c) Find the ratio of the medium side to the longest side.
27 feet
5) The break room in the tutoring center measures 15 feet by 25 feet. We want to have a bigger
break room. The new measurements are going to be 20 feet by 30 feet.
a) What is the ratio of the area of the old room to the area of the new room?
b) What is the ratio of the perimeter of the old room to the perimeter of the new room?
January 15, 2008
Ratio and Proportions Applications and Problem Solving
6) Robert has a monthly budget of $2000.And the distribution of his budget is displayed as a pie
chart below. Answer the following questions based on the pie chart
below.
a) What is the ratio of the taxes to transportation?
b) What is the ratio of rent to food?
c) What is the ratio of rent to total income?
d) What is the ratio of utilities to total income?
7) Stewart worked 40 hours in two weeks and earned $ $420.00. What is the ratio of the dollars to
hours?
8) In the past week, Robert drove 312 miles. When he got gas, the tank took 12 gallons. What is
the ratio of the miles to gallons?
9) My friend, Samantha, lost 32 pounds in 4 months. What is the ratio of the weight she lost to
months?
January 15, 2008
Ratio and Proportions Applications and Problem Solving
Answers
1.
A.
B.
3
5
5
3
6.
B.
2.
3
8
D.
1
16
11
1
B.
1
2
7.
2
21
C.
5
1
8.
26
1
3
10
9.
8
1
3.
3 to 1 Because you will earn three times as much as him.
4.
A.
6
7
B.
3
2
C.
7
9
A.
5
8
B.
4
5
2
1
5
2
C.
A.
D.
5.
A.
January 15, 2008