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if 30 marks is 40% what is full marks

Sagot :

100% are 75 marks because,
30 + 30 = 60
(40%+40%)
then you half 30 which is 15
60+15=74
(you half the 40 and add 80 to 20
20+80=100) 75 marks

helped?

can you put me on the brainlest answer?
please

Answer:

Let the full marks be y.

Then, the statement become : 30 marks is 40 % of y.

to solve for y;

40% of y can be written as [tex]\frac{40}{100} \times y[/tex]

Then,

from the given condition we have;

[tex]\frac{40}{100} \times y =30[/tex]

or

[tex]\frac{4}{10}y =30[/tex]

Multiply both sides by [tex]\frac{10}{4}[/tex] in above equation;

[tex]\frac{4}{10}y \times \frac{10}{4} =30 \times \frac{10}{4}[/tex]

Simplify:

[tex]y= \frac{300}{4}=75[/tex]

Then, the full marks (y) = 75.

Therefore,  30 marks is 40% of 75.

Check:

30 = [tex]\frac{40}{100} \times 75[/tex]

30 =[tex]0.4 \times 75[/tex]

30 =30                                    [True]