Writing Ratios in 3 Ways
Unit Rate Word Problems
Ratio Word Problems
Measurement Conversions Word Problems
Proportions/Dimensional Analysis Word Problems
100
Tim's Ice Cream Shop sold 31 sundaes with nuts and 18 sundaes without nuts. What is the ratio of the number of sundaes with nuts to the number of sundaes without nuts?
Write the ratio all 3 ways.
For the fraction form, reduce if possible.
31: 18
31 to 18
31/18
100
Jamal completed his first 5-kilometer run on Saturday. He ran at a constant speed and finished in exactly 30 minutes. What was his rate per minute?
1/6 kilometers
100
Michael's mom loves Bright Scents candles. A 4-inch candle will burn for 8 hours. Michael bought his mom a 10-inch candle for Mother's Day.
If Bright Scents candles all burn at the same rate, how many hours will the 10-inch candle burn?
20 hours
100
8,500 milligrams = ________ grams
8.5
100
Which proportion could you use to convert 4 pounds to ounces? Then solve.
Table on the right
64 ounces
200
8 students want lemonade and 32 students want iced tea. What is the ratio of the number of students who want lemonade to the number of students who want iced tea?
Write the ratio all 3 ways.
For the fraction form, reduce if possible.
8:32
8 to 32
8/32 or 4/16 or 2/8 is reduced to 1/4
200
Coach Russo is making copies of his baseball team's schedule to hand out at the next practice. It takes the copy machine 40 seconds to make 20 copies. Find the unit rate for copies.
2 seconds
200
When Cara drives to work, it takes her 30 minutes to drive 15 miles. On her days off, she likes to drive to her favorite donut shop. It takes Cara 6 minutes to drive to The Dreamy Donut Shop at the same rate.
How many miles away is The Dreamy Donut Shop?
3 miles
200
4.5 feet = _____ inches
54 inches
200
Which proportion could you use to convert 7 grams to milligrams?
Table on left
7,000 milligrams
300
There are 4 men and 28 women participating in a triathlon. What is the ratio of the number of men participating to total number of participants?
Write the ratio all 3 ways.
For the fraction form, reduce if possible.
4:32
4 to 32
4/32 is 2/16 is reduced to 1/8
300
Grayson is preparing for a backpacking trip with his friends this summer. Last weekend he hiked for 8 hours and covered a distance of 20 miles, maintaining a steady speed throughout the day. How much distance does he cover each hour?
2.5 miles
300
The ratio of the side length of a square to the square's perimeter is always 1 to 4. Peter drew a square with a perimeter of 28 inches.
What is the side length of the square Peter drew?
7 inches
300
6 meters = ________ millimeters
6,000
300
Which proportion could you use to convert 3 cups to fluid ounces?
Table on right
24 fluid ounces
400
18 of Philip's dominoes are standing and the other 13 dominoes have fallen over. What is the ratio of the number of total dominoes to the number of dominoes still standing?
Write the ratio all 3 ways.
For the fraction form, reduce if possible.
31:18
31 to 18
31/18
400
A 6-pound bag of charcoal costs $7.32. What is the unit price?
$1.22
400
Sasha's mom is ordering food trays for Sasha's elementary school graduation party. Banquet Brothers sells a tray with 48 servings of pasta for $60. Cookin' Catering sells a tray with 30 servings of pasta for $72. Which company has the better deal?
Banquet Brothers
(show work)
400
A 2-yard piece of copper wire costs $28.50. What is the price per foot?
$4.75
400
Which proportion could you use to convert 7 yards to feet?
Table on right
21 feet
500
There are 50 chairs in the auditorium. 22 of the chairs are red and the rest are blue. What is the ratio of the number of red chairs to the number of blue chairs?
Write the ratio all 3 ways.
For the fraction form, reduce if possible.
22:28
22 to 28
22/28 is reduced to 11/14
500
An 8-pack of beaded necklaces costs $18.32. What is the unit cost?
$2.29
500
Joseph buys carrots for his horse every weekend. He paid $4.69 for 7 carrots at a farm stand last weekend. This weekend, Joseph paid $5.76 for 12 carrots at the supermarket. Which location offers the better deal?
The location this weekend
500
A 2-gallon container of laundry detergent costs $31.28. What is the price per quart?
$3.91
500
Which proportion could you use to convert 200 millimeters to centimeters?
Table on right
20 centimeters