Question: Nicholas took a maths quiz last week. He got 33 out of 44 problems correct. What percentage did Nicholas get correct?
Write your answer using a percent sign (%).
(1) 65%
(2) 72%
(3) 75%
(4) 70%
Solution:
Find what percentage 33 is of 44. The part is 33.
The whole is 44.
Let n represent the percent.
Write a proportion to solve for n.
33/44 = n/100
33*100 = 44n
3300 = 44n
3300 ÷ 44 = 44n ÷ 44
75 = n
Nicholas got 75% of the questions correct.
You could also find the answer by writing and solving an equation:
part = percentage of whole
33 = n/100 * 44
33 = 44n/100
33 = 0.44n
33 ÷ 0.44 = 0.44n ÷ 0.44
75 = n
Nicholas got 75% of the questions correct.
Then the option is (3).
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