Word Problems
At a school fundraiser, the ratio of chocolate cupcakes to vanilla cupcakes sold was 3:5. If the students sold 120 vanilla cupcakes, how many chocolate cupcakes did they sell?
The students sold 72 chocolate cupcakes.
What ratio is equivalent to 6:9?
a. 12:18
b. 3:3
c. 18:12
d. 36:45
a. 12:18
Sophia bikes 850 centimeters every 20 minutes. If she bikes for 4 hours, how many meters will she travel in total?
Sophia will bike 102 meters in 240 minutes.
The table below shows the times and distances of two cyclists racing to see who is faster. Emma bikes 225 meters in 7.5 minutes, while Liam bikes 180 meters in 6.3 minutes. Which cyclist would bike faster in 1 meter?
Cyclist Meters Minutes
Emma 225 7.5
Liam 180 6.3
Emma bikes faster, taking about 0.033 minutes per meter compared to Liam, who takes about 0.035 minutes per meter.
In a school library, the ratio of fiction books to non-fiction books is 5:8. If there are 390 books in total:
How many fiction books are there?
How many non-fiction books are there?
There are 150 fiction books.
There are 240 non-fiction books.
Which of the following is NOT equivalent to the ratio 8:12?
a. 2:3
b. 16:24
c. 32:48
d. 6:9
d. 6:9
Maya packs 450 grams of food every 20 minutes for a food drive. If she continues packing for 3 hours, how many kilograms of food will she pack in total?
Maya will pack 4.05 kilograms in 180 minutes.
In a basketball game, the ratio of points scored by Team A to points scored by Team B is 4:5. Use the table below to fill in the missing values based on the ratio.
Team A Points Team B Points Total Points
12 x x
x 25 x
16 x x
Team A Points Team B Points Total Points 12 15 27 20 25 45 16 20 36
Samantha is painting a fence for her friend. She works for 4 hours a day and can paint 48 square feet each day. She plans to finish the job in 5 days. How many square feet per hour will Samantha have painted by the time the job is finished?
Samantha will paint 12 square feet per hour by the time the job is finished.
Which ratio is not equivalent to 12:16?
a. 3:4
b. 6:8
c. 24:32
d. 8:12
d. 8:12
Liam jogs 1,250 centimeters every 15 minutes. He takes a break after every 45 minutes of jogging. If he jogs for a total of 6 hours (including breaks), how many meters does he jog in total?
Liam jogs 225 meters in 270 minutes.
In a classroom, the ratio of boys to girls is 2:3. Use the table below to fill in the missing values.
Boys Girls Total Students 4 x x x x x x 9 x
Boys Girls Total Students 4 6 10 6 9 15
Mia jogs to the gym every day. The round trip to the gym and back home is a total of 12 miles. Mia can get to the gym from her house in 18 minutes. How many minutes does she jog per mile?
Mia jogs 3 minutes per mile.
A ratio is simplified to 5:6. Which of the following ratios, when reduced, does not match 5:6?
a. 25:30
b. 50:60
c. 20:24
d. 15:18
d. 15:18
Ethan packs 625 grams of supplies every 25 minutes. After packing for 4 hours, he needs to repack everything into 5 equal boxes. How many kilograms of supplies will be in each box?
Each box will have 1.2 kilograms of supplies in 240 minutes.
In a school, the ratio of red marbles to blue marbles in a bag is 5:7. There are 84 blue marbles in the bag. Use the table below to find the number of red marbles and the total number of marbles in the bag.
Red Marbles Blue Marbles Total Marbles x 84 x
Red Marbles = 60
Total Marbles = 144
At a summer camp, the ratio of boys to girls is for every 4 boys there is 3 girls. The campers are divided into groups of 7, with each group having the same ratio of boys to girls as the whole camp.
If there are 196 campers in total:
How many boys and how many girls are at the camp?
How many groups of 7 can be made?
How many boys and girls are in each group?
There are 112 boys and 84 girls at the camp.
There are 28 groups of 7 campers.
Each group has 4 boys and 3 girls.
Which ratio simplified is equivalent to 45:60, but both terms are divided by their greatest common factor and then multiplied by 5?
a. 3:4
b. 15:20
c. 25:35
d. 5:6
b. 15:20
Olivia fills 1.5 liters of water into bottles every 18 minutes. After filling bottles continuously for 5 hours and 24 minutes, she pours the water equally into 8 large containers. How many liters of water does each container hold?
Each container holds 3.375 liters of water in 324 minutes.
Three friends, Alice, Bob, and Charlie, are competing in a race. The table below shows the time it took each friend to complete their respective distances. Your job is to fill in the missing information to find out:
How many meters per second each person ran.
Who ran the fastest, based on their meters per second.
Friend Alice Bob Charlie
Distance (meters) 500 600 750
Time (minutes) 7.5 8.0 9.5
Time (seconds) x x x
Meters per second x x x
Charlie ran the fastest with 1.32 meters per second.