When ever you have percentages, it should be helpful to bear in mind you can express them as multipliers. In this case, it will be helpful.
So, if we let:
a = test score
b = target score
then, using the information given:
a = 1.1b + 1
a = 1.15b - 3
and we get simultaneous equations.
'1.1' and '1.15' are the multipliers that I got using the percentages. Multiplying a value by 1.1 is the equivalent of increasing the value by 10%. If you multiplied it by 0.1 (which is the same as dividing by 10), you would get just 10% of the value.
Back to the simultaneous equations, we can just solve them now:
There are a number of ways to do this but I will use my preferred method:
Rearrange to express in terms of b:
a = 1.1b + 1
then b = (a - 1)/1.1
a = 1.15b - 3
then b = (a + 3)/1.15
Since they are both equal to b, they are of the same value so we can set them equal to each other and solve for a:
(a - 1)/1.1 = (a + 3)/1.15
1.15 * (a - 1) = 1.1 * (a + 3)
1.15a - 1.15 = 1.1a + 3.3
0.05a = 4.45
a = 89
Is this the whole problem because I don’t see a “g”
Anywhere I’m the problem
Answer:
<h2><u>26</u></h2>
Step-by-step explanation:
14
+
12
--------
26
a) x=4
10+2x+6=24
-2x. -2x
10+6=-2x+24
-24. -24
10+6-24=-2x
simplify
-8=-2x
divide both sides by -2
4=x
2. x=7
14+3x+5=40
-3x. -3x
14+5=40-3x
-40. -40
14+5-40=-3x
-21=-3x
divide both side by -3
7=x
