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- Lecture Proportions: Word Problems
Lecture Proportions: Word Problems
Presentation
•
Mathematics
•
8th - 10th Grade
•
Practice Problem
•
Medium
+5
Standards-aligned
Marie Greene
Used 134+ times
FREE Resource
8 Slides • 13 Questions
1
How to use Proportion to solve every day word problems
2
*Cross multiply method can be used to find the missing value of a proportion
*Multiply diagonally & set each cross equal to each other. Then, divide both sides by the value with the variable. This will give the answer to a true proportion.
3
When there are units of measure, the same units should be across from each other in the proportion.
*Notice the units of measurement are alike directly across from the other value.
4
Scenario: 34 buttons to 3 shirts is equal to 11.5 buttons to 1 shirt.
*Put these into fraction form and set them up as equivalent proportions.
What do you notice about the units of measurement?
5
First, understand the correct set up of the ratios in proportion will help when solving word problems.
Example: If 6 melons cost $9; What is the cost of 10 melons?
What do you know? the cost of 6 melons is $9 and it is equally proportioned to 10 melons to X dollars.
Now set up the proportion and solve to find the total cost of 10 melons.
6
How did you do?
7
Multiple Choice
Solve for X
1/10
4
5
10
8
Multiple Choice
If four ice creams cost $3.20, what would 8 ice cream cost?
$6.40
$7.20
$9.60
$10.00
9
Multiple Choice
A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Jake made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct and equal?
2.5 cups milk
2 cups of flour
1.75 cups milk
2.25 cups milk
10
Multiple Choice
A scale model of a whale is being built. The actual length of the whale is 65 feet. The scale of the model is 2 in : 3 ft. What will be the length of the model?
97.5 inches
41.56 inches
30.6 inches
43.33 inches
11
Multiple Choice
About 13 out of 20 homes have personal computer. On a street with 60 homes, how many computers would you expect to have?
4.5 homes
39 homes
4.3 computers
39 computers
12
Multiple Choice
Hamburger meat sells for $6.00 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay?
$10.00
$20.00
$30.00
$60.00
13
Multiple Choice
12 ounce shampoo bottle lasts MIke 16 weeks. How long would you expect an 18 ounce bottle of the same brand to last him?
6 weeks
20 weeks
24 weeks
30 weeks
14
Multiple Choice
Pat needs 14 sticks of pepperoni to make 28 pizzas. How many sticks of pepperoni are needed to make 36 pizzas?
18 pizzas
18 sticks
15 pizzas
252 sticks
15
Example: The pair of figures is similar. Find the missing side.
16
Multiple Choice
The pair of figures is similar. Find the missing side.
x = 9
x = 13
x = 4
x = 36
17
The pair of figures is similar. Find the missing side.
18
Multiple Choice
The pair of figures is similar. Find the missing side.
x = 20
X = 5
x = 12
x = 4
19
Multiple Choice
A rectangular garden is 45 ft wide and 70 ft long. In a drawing, the width is 9 in. Identify the length on the drawing.
7 inches
9 inches
12 inches
14 inches
20
Multiple Choice
An 8 foot tall street sign cast a 6 foot shadow at the same time that a building casts a 48 foot shadow. How many feet tall is the building?
36
54
64
96
144
21
Multiple Choice
If the man in the diagram is 6 feet tall, what is the height of the tree?
4
20
24
36
96
How to use Proportion to solve every day word problems
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