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Algebra word problem

Two more than two thirds multiplied by a number is equal to two and two thirds. What is the number?

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Francisco E. | Francisco; Civil Engineering, Math., Science, Spanish, Computers.Francisco; Civil Engineering, Math., Sci...
5.0 5.0 (1 lesson ratings) (1)
1
Two more than two thirds multiplied by a number is equal to two and two thirds. What is the number?
(2+(2/3) x Y = (2(2/3))
Y=1
Jill J. | Over 15 yrs exp tutoring: Kindergarten thru UniversityOver 15 yrs exp tutoring: Kindergarten t...
4.6 4.6 (8 lesson ratings) (8)
0
2+2/3n= 2 2/3
 
-2.         = -2
 
2/3n = 2/3
 
3/2 * 2/3n = 2/3 * 3/2
 
n = 1
John K. | Effective Specialist in Never-Been-Good-at-Math situationsEffective Specialist in Never-Been-Good-...
4.7 4.7 (18 lesson ratings) (18)
0
Call the number x, then (2/3)x + 2 = 2 2/3 = 8/3.
 
Rewriting the equation so that x is left alone on the left side:
 
(2/3)x = 8/3 - 2 = 2/3
 
Multiply both sides by 3/2: (3/2)(2/3)x = (3/2)(2/3) and x = 1.
 
Checking: (2/3)(1) + 2 = 8/3