Ratios
Unit Rates
Word Problems with Rates/Ratios
100
There are 2 girls and 5 boys in a class. What is the ratio of girls to boy?
2/5, 2 to 5, or 2:5
100
It took Carly 25 minutes to run 5 laps. How many minutes did it take her to run one lap?
5 minutes
100
Kyle uses 3 cups of sugar to make 5 gingerbread houses. At this rate, how many cups of sugar would he need to make 25 gingerbread houses?
15 cups of sugar
200
A candy jar contains 8 red pieces and 4 green. What is the ratio of red to green in simplest form?
2/1 (or 2 to 1, 2:1)
200
Write $24 for 8 tickets as a unit rate.
$3 per ticket
200
John biked 11 miles in 5 minutes. If he biked at a constant rate, how many miles could he bike in 10 minutes?
22 miles
300
Is a larger numerator okay in a ratio? Is it okay in a fraction?
Yes - okay in a ratio. No - not okay in a fraction. For a fraction you would need to make your answer a mixed number.
300
Kaitlynn spent 45 minutes reading her book. If she read 9 chapters, how much time did she spend per chapter?
5 minutes per chapter
300
Greg got 3 out of the 4 problems correct on his quiz. If his score remains the same, how many problems could we predict he would get right if there were 20 on the quiz?
15 questions correct
400
9 out of 13 fish are orange. What is the ratio of fish that are orange to fish that are not orange?
9/4 (9 to 4, 9:4)
400
A box of chocolate costs $3.00. There are 75 pieces of chocolate in the box. What is the cost per piece?
$0.04 (4 cents) per piece
400
A 24 pack of gum costs $6. What is the price per piece?
$0.25 each
500
14 out of 16 students attended the pep rally. Write the number of students who attended the pep rally to those who did not as a ratio in simplest form.
7/8 (7 to 8, 7:8)
500
Tyler spent 12.4 minutes helping 8 friends with math homework. If he spent the same amount of time with each friend, how many minutes did he spend with each person?
1.55 minutes with each
500
Tom ran 0.5 miles in 23 minutes. At this rate, how far could he run in 92 minutes?
2