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Setting up and Solving Proportional Equations
Thursday, April 20, 2023
We are learning to…solve problems that involve proportional reasoning.
What is a proportion?
Proportion – two ratios (comparisons) that are equal. Example:
Charlie makes 5 phone calls in 2 days. How many phone calls will he make in 12 days?
Table: Proportion:
Calls Days
5 2
x 12
5 calls
2 days calls
12 days
x
Use your equation solving skills to find the solution of the proportion below.5 calls calls
2 days 12 days
x
5
2 12
x
5
2 12
x (12)(12) 12 5 60
6030
2 30x
Charlie will make 30 phone calls in 12 days
Practice Problem #1 A pipe leaks 7 quarts of water in 6 hours. At this rate how much
water will the pipe leak in 10 hours?
Table: Proportion: Solution:
Quarts Hours
7 6
X 10
7 quarts quarts =
6 hours 10 hours
x
(10)(10)
211 quarts
3x
The pipe will leak 11 and 2/3 quarts of water in 10
hours.
7 quarts quarts =
6 hours 10 hours
x
10 7 7070 6
411 ?
6
Practice Problem #2 Xavier sends 52 text messages in 4 days. At this rate how many
text messages will he send in 7 days?
Table: Proportion: Solution:
Texts Days
52 4
X 7
52 texts texts =
4 days 7 days
x
(7)(7)
91 text messagesx
Xavier will send 91 text messages in
7 days.52 texts texts
= 4 days 7 days
x
7 52 364364 4
91