<PRE><B>Question 122511</B>
licia wants to have a Grade Point Average of a B or better for the first semester. On this scale, an A is worth 4 points, a B is 3 points, a C is 2 points, a D is 1 point, and an F is worth 0 points. She knows she has an A in Social Studies, a C in English, and an A in Algebra. What is the lowest grade she can make in Science and still have a B for the semester?
:
Let S = the required grade in Science
Given:
Social S: A = 4
English: C = 2
Algebra: A = 4
:
{{{(4 + 2 + 4 + S)/4}}} = 3
Multiply equation by 4 to get rid of the denominator
4 + 2 + 4 + S = 12
10 + S = 12
S = 12 - 10
S = 2; she needs at least a C in Science
:
Check
{{{(4 + 2 + 4 + 2)/4}}} =
{{{12/4}}} = 3 which is a B
</PRE>