Help me solve this: 16-x=x

Mathematics

1 answer:

cricket20 [7]3 years ago

4 0

Answer:

Step-by-step explanation:

16 - x = x

16 = x + x

16 = 2x

16 ÷ 2 = x

8 = x

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Jimmy set his score for his math test. After the math teacher returnee his paper to him, he realized that if he increased his ta

mixer [17]

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

8 0

3 years ago

Can someone please help me out! and please explain your answer, and how you got it right! thank you so much!

Contact [7]

It is

$24x - 30$