Question

The maximum number of marks attainable at a mathematics competition is 60 suppose you obtained 40 marks your brother obtained 46 marks and your sister obtained 49 marks the examination board decides that those who scored 80% and above will get gold medal those who scored 75% to 79% Inclusive will get a silver medal and those who scored 60% to 69% inclusive will get a bronze medal determine the type of medals each one of you will get

Answer 1

You = bronze

Your brother = silver

Your sister = gold

Explanation:

Your marks: 40/60

Your brother's marks: 46/60

Your sister's marks: 49/60

You can simplify the fractions, but you don't have to:

40/60 = 2/3

46/60 = 23/30

49/60 = 49/60

Now, divide each of the numerators by the denominators (turn the fraction into a decimal).

2/3 = 0.6667

23/30 = 0.7666667

49/60 = 0.8166667

(Note that these are all approximations as the real answers go on forever)

Lastly, multiply them all by 100 to get the percent.

0.6667 x 100 = 66.67% - bronze

0.76667 x 100 = 76.667% - silver

0.816667 x 100 = 81.6667% - gold