A ratio is a comparison of two quantities. For example, let’s suppose that there are four girls in a classroom, along with two boys. The ratio of girls to boys is 4:2, which simplifies to 2:1. This is telling us that there are two girls in the classroom for every one boy.
Test Objectives:•Demonstrate the ability to write a ratio as a fraction and simplify
•Demonstrate the ability to describe a given scenario using a ratio
•Demonstrate the ability to find the unit rate
Ratios & Rates Test:
#1:
Instructions: Write each ratio as a fraction and simplify.
a) 8:4
b) 16:24
c) 15:75
d) 100:10
e) 12:3
#2:
Instructions: Find the ratio and simplify.
A field trip contained 35 girls and 15 boys.
a) What is the ratio of girls to boys?
b) What is the ratio of boys to girls?
A football team had a win/loss ratio of 5:1. If they played a total of 12 games:
c) How many games were won?
d) How many games were lost?
#3:
Instructions: Find the ratio and simplify.
a) On a church trip, there were 4 boys for every 3 girls. If there were a total of 48 boys on the trip, how many girls were there?
#4:
Instructions: Find each unit rate.
a) A meal that contains 220 calories with 22 grams of fat
b) Traveling 320 miles on 20 gallons of gas
#5:
Instructions: Find the unit price and state the better deal.
a) 46 flash drives for $92, 12 flash drives for $36
b) 8 ink cartridges for $120, 23 ink cartridges for $368
Written Solutions:
Solution:
a)
8 | = | 2 |
4 | 1 |
b)
16 | = | 2 |
24 | 3 |
c)
15 | = | 1 |
75 | 5 |
d)
100 | = | 10 |
10 | 1 |
e)
12 | = | 4 |
3 | 1 |
Solution:
a)
girls | = | 7 |
boys | 3 |
b)
boys | = | 3 |
girls | 7 |
c) 10 games were won
d) 2 games were lost
Solution:
a) 36 girls were on the church trip.
Solution:
a) 10 calories per 1 gram of fat
10 calories |
1 gram of fat |
b) 16 miles per 1 gallon of gasoline
16 miles |
1 gallon of gasoline |
Solution:
a) 46 flash drives for $92 is the better deal.
$92 | = | $2 |
46 flash drives | 1 flash drive |
$36 | = | $3 |
12 flash drives | 1 flash drive |
b) 8 ink cartridges for $120 is the better deal.
$120 | = | $15 |
8 I.C. | 1 I.C. |
$368 | = | $16 |
23 I.C. | 1 I.C. |