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Finley has 72 sweets - OCR - GCSE Maths - Question 15 - 2023 - Paper 1

Question 15

Finley has 72 sweets. Finley gives • 25% of the sweets to Alex. • 1/6 of the sweets to Umi. Show that Finley has 7/12 of the sweets left.

Worked Solution & Example Answer:Finley has 72 sweets - OCR - GCSE Maths - Question 15 - 2023 - Paper 1

Step 1

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Answer

To find 25% of the sweets Finley has, first, calculate:

$25\% \text{ of } 72 = \frac{25}{100} \times 72 = 18$

Thus, Finley gives 18 sweets to Alex.

Step 2

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Answer

Next, calculate 1/6 of the sweets:

$\frac{1}{6} \text{ of } 72 = \frac{72}{6} = 12$

So, Finley gives 12 sweets to Umi.

Step 3

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Answer

Finley gives a total of sweets to both Alex and Umi:

$18 + 12 = 30$

Finley has now given away 30 sweets.

Step 4

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Answer

Finally, we find out how many sweets are left:

$72 - 30 = 42$

Now, to express the remaining sweets as a fraction of the original amount:

$\frac{42}{72} = \frac{7}{12}$

Therefore, Finley has \frac{7}{12} of the sweets left.

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