Question 126555
 student with a 1.875 gpa has 24 credit hours. find how many credit hours of b's (at 3 per credit hour) he will need to raise his gpa to a 2.40
:
We can do it this way:
:
Let x = no. of credit hrs required at 3.0
:
{{{((1.875(24) + 3x ))/((x+24))}}} = 2.4
{{{((45 + 3x ))/((x+24))}}} = 2.4
Multiply both sides by (x+24)
45 + 3x = 2.4(x+24)
:
45 + 3x = 2.4x + 57.6
:
3x - 2.4x = 57.6 - 45
:
.6x = 12.6
x = {{{12.6/.6}}}
x = 21 credit hrs at 3.0
:
:
Check solution:
{{{((45 + 3(21)))/((24 + 21))}}} =
{{{108/45}}} = 2.4