Rhonda added 140 to one third of a number for a result of 216. What is the number?

Question

Rhonda added 140 to one third of a number for a result of 216. What is the number?

Answer 1

Let x=unknown number.

 

Let (1/3)x=one-third of the number.

 

Solve for x in the equation.

 

(1/3)x + 140=216

 

Subtract 140 from both sides

 

(1/3)x=216 -140

 

(1/3)x=76

 

Multiply both sides by 3

 

3*(1/3)x=3*76

 

3 and 1/3 multiply to form 1.

 

x=228.  228 is the unknown number.

Answer 2

Hi Holly,

 

Writing the first sentence as an mathematical equation, we have

 

216 = 140+x/3

where x is the number.

 

Solving for x,

 

76 = x/3

228 = x