How many consecutive hits must Tai get to increase his batting average to 0.600? (Description has beginning of question)

Question

Tai has been officially at bat 128 times and has hit 32 times. His batting average is 32/128 = 0.250. How many consecutive hits must he get to increase his batting average to 0.600?

I'm just trying to check my current answer.

Answer 1

Let x = the number of consecutive hits that Tai needs to bat 0.600.  We need:

 

     (32+x)/(128+x) = 0.600

 

Now let's solve for x:

 

     32 + x = (0.600)*(128+x)

     32 + x = 76.8 + 0.6x

     x - 0.6x = 76.8 - 32

     0.4x = 44.8

 

Can you solve it from here?