Kevin took a math test and got 45 correct and 5 incorrect answers. What was the percentage of correct answers
Answers
Given:
• Kevin took a math test and got 45 correct and 5 incorrect answers.
To find:
• The percentage of correct answers.
Solution:
% of correct answers
= correct answers/correct + incorrect answers × 100
= 45/45 + 5 × 100
= 45/50 × 100
= 90%
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Know more:
• Some conversion rules of percentage
Rule 1:To convert a percentage into a fraction, write the number as the numerator and 100 as the denominator, and then reduce this fraction to its simplest form. You can also express the fraction as a ratio.
Rule 2: To convert a fraction into a percentage, multiply the fraction 100 and add the symbol. Since ratios are essentially fractions, you can also express a ratio as a percentage.
Rule 3: To convert a percentage into a decimal, remove the % sign decimal point in the number by two places to the left.
Rule 4: To convert a decimal into a percentage, shift the decimal point in the number by two places to the right and add the % sign.
Rule 5: To find a given percentage of a quantity, write the percentage as a fraction and multiply the quantity by this fraction.
x % of y = x/100 × y
Rule 6: To express a given quantity as a percentage of another quantity of the same kind, divide the given quantity by the other quantity, multiply the result by 100, and then add the % sign.
(x as a % of y) = (x/y × 100) % of y
Rule 7: To find a quantity from a given percentage of the quantity, express the given percentage as a fraction and divide the given quantity by the fraction.
Rule 8 To find the percentage change in a quantity, write the change in the quantity as the numerator and the original quantity as the denominator and then multiply the fraction by 100.
Percentage change
= change in the quantity/original quantity × 100
• If a quantity increases by x%
new quantity = (1 +x/100)
original quantity = new quantity/1 + x/100
• If a quantity decreases by x%
new quantity = (1 - x/100)
original quantity = new quantity/1 - x/100
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Thanks!!
Answer:
no of math test =50
in that
they got 45 correct answers
5 incorrect answers
45/5
5x9=45