GCSE OCR Maths Fractions: 6 (a) Work out 70% of 50.

6 (a) Work out 70% of 50 - OCR - GCSE Maths - Question 6 - 2020 - Paper 3

Question 6

6 (a) Work out 70% of 50. (b) Beth multiplies a number by 3 and divides the answer by 10. By what fraction has the number been reduced?

Worked Solution & Example Answer:6 (a) Work out 70% of 50 - OCR - GCSE Maths - Question 6 - 2020 - Paper 3

Step 1

96%

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Answer

To find 70% of 50, we can use the formula:

ext{Percentage} imes ext{Total} = rac{70}{100} imes 50

Calculating this gives:

= 0.7 imes 50 = 35.

Thus, 70% of 50 is 35.

Step 2

99%

104 rated

Answer

Let the original number be denoted as $x$ . According to the problem:

To find by what fraction the original number has been reduced, we calculate the reduction:

$ext{Reduction} = x - rac{3x}{10}$

This simplifies to:

$ext{Reduction} = rac{10x}{10} - rac{3x}{10} = rac{7x}{10}$

The fraction by which the number has been reduced is then:

$ext{Fraction reduced} = rac{ ext{Reduction}}{ ext{Original}} = rac{ rac{7x}{10}}{x} = rac{7}{10}.$

Thus, the number has been reduced by the fraction 7/10.