Name ____________________________________ Date ________ Period _____
Unit 4: Ratios and Rates – More Ratios in Word Problems
Read each question carefully. Make yourself proud by taking your time and
turning in quality work. Be sure to circle and label the word problem answers.
1. A rope is cut into three pieces, P, Q, and R. The lengths of the pieces are in
the ratio of 3 : 5 : 7. If the rope is 33 feet 9 inches long, find the lengths of
P, Q and R.
2. Alice, Bernice and Cheryl shared some stamps in the ratio of 8 : 9 : 18. Alice
received 184 stamps. Find the number of stamps that Bernice and Cheryl
each received.
3. Alan, Gil and Deb’s point score in a video game was in the ratio of 2 : 3 : 4.
Deb scored 114,400 points.
a. How many points did Gil score?
b. How many points did they score in all?
4. Lara has three cats: Socks, Princess, and Luna. The ratio of Sock’s weight to
Princess’s weight is 4 : 5. The ratio of Princess’s weight to Luna’s weights is
6 : 7. What is the ratio of Sock’s weight to Luna’s weight?
5. Danny poured 78 liters of water into containers X, Y, and Z. The ratio of the
volume of water in Container X to the volume of water in Container Y is
5 : 2. The ratio of the volume of water in Container Y to the volume of
water in Container Z is 8 : 11.
a. How much water was poured into Container X?
b. How much more water was poured into Container X and Container
Z?
6. The ratio of the number of mystery books to the number of science fiction
books is 4 : 3. The ratio of the number of science fiction books to the
number of biographies is 4 : 5. If there are 48 science fiction books, find the
total number of books.
7. In a music room, the ratio of the number of clarinets to the number of
flutes was 3 : 4. After the school bought another 24 flutes, the ratio
became 3 : 8. How many clarinets were there in the music room?
8. In a school gym, the ratio of the number of boys to the number of girls was
4 : 3. After 160 boys left the gym, the ratio became 4 : 5. How many girls
were there in the gym?
9. The ratio of the number of men to the number of women on a bus was
2 : 3. At a bus stop, 4 women got off and the ratio became 4 : 5.
a. How many men were on the bus?
b. How many women were on the bus in the end?
10. The number of chickens to the number of ducks on a farm was 6 : 5. After
63 ducks were sold, there were 3 times as many chickens as ducks left.
a. How many chickens were there on the farm?
b. How many chickens and ducks were there altogether on the farm in
the end?
Challenge
11.The ratio of the volume of fruit juice to the volume of smoothies served at a
party was
to 2.4. There were 35 liters more fruit juice served than
smoothies. Find the volume of smoothies served.
12. A piece of ribbon is cut into two shorter pieces in the ratio of 2.8 to 1.25.
The difference in the length of the two shorter pieces is 80.6 centimeters.
What is the length of the original piece of ribbon?
13. Today the ratio of Eleanor’s age to her mother’s age is 3 : 8. After 15
years, the ratio will become 6 : 11.
a. Find Eleanor’s age today
b. Find her mother’s age after 15 years.