If a = 2b + 1/2 and 4b=3, what is the value of a?

Question

If  a = 2b +\frac{1}{2}  and  4b=3 , what is the value of  a  ?

A.  1

B.  1 \frac{1}{2}

C.  2

D.  2 \frac{1}{2}

E.  3

rajatchopra1994 · Answer

Explanation:

Given : a=2b+1/2 -- Eqn 1 
4b=3
b=3/4 Putting value in eqn 1
a = 2*3/4 + 1/2
a = 3/2 + 1/2
a = 4/2 = 2

IMO-C

Nipungupta9081 · Answer

Answer C

A = 2b + 1/2 
4B = 3

A = 4b + 1 / 2

2A = 4A + 1

Putting value of 4A

2A = 3 + 1
 A = 4/2 = 2

kntombat · Answer

a=2b+1/2; 4b=3;
b= 3/4; therefore, a = 2*3/4 + 1/2;
a= 3/2+1/2;
a=4/2; a=2.
Therefore the answer is C

ScottTargetTestPrep · Answer

Solution:
 
Since 4b = 3, then b = 3/4 and thus:

a = 2(¾) + ½ = 3/2 + 1/2 = 4/2 = 2

Answer: C

Prep Toolkit