Name
6–4
Date
Problem-Solving Strategy:
Write an Equation
There are 5 children in the Jackson family—Ben, Kendra, Abby, Craig, and Susan.
Ben is twice as old as Kendra. Kendra is 3 years younger than Abby. Craig is 5
years younger than Abby. Susan is twice as old as Craig. Ben is 16 years old.
1.
Write and solve an equation to find Kendra’s age.
2.
Use your solution in problem 1 to write and solve a new equation to find
Abby’s age.
3.
Use your solution in problem 2 to write and solve a new equation to find
Craig’s age.
4.
Use your solution in problem 3 to write and solve a new equation to find
Susan’s age.
5.
Write and solve a new equation to check each of the ages you found. Explain
how each new solution shows that each age you found is correct.
Kendra’s Age:
Abby’s Age:
Name
6–4
Date
Problem-Solving Strategy:
Write an Equation
There are 5 children in the Jackson family—Ben, Kendra, Abby, Craig, and Susan.
Ben is twice as old as Kendra. Kendra is 3 years younger than Abby. Craig is 5
years younger than Abby. Susan is twice as old as Craig. Ben is 16 years old.
1.
Write and solve an equation to find Kendra’s age.
16 ⴜ 2 ⴝ n; n ⴝ 8; Kendra is 8 years old.
2.
Use your solution in problem 1 to write and solve a new equation to find
Abby’s age.
8 ⴙ 3 ⴝ n; n ⴝ 11; Abby is 11 years old.
3.
Use your solution in problem 2 to write and solve a new equation to find
Craig’s age.
11 ⴚ 5 ⴝ n; n ⴝ 6; Craig is 6 years old.
4.
Use your solution in problem 3 to write and solve a new equation to find
Susan’s age.
6 ⴛ 2 ⴝ n; n ⴝ 12; Susan is 12 years old.
5.
Write and solve a new equation to check each of the ages you found. Explain
how each new solution shows that each age you found is correct.
Kendra’s Age:
8 ⴛ 2 ⴝ n; n ⴝ 16 ⴝ Ben’s age;
Ben is twice as old as Kendra.
Abby’s Age:
11 ⴚ 3 ⴝ n; n ⴝ 8 ⴝ Kendra’s age;
Kendra is 3 years younger than Abby.