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Mrs Mills buys 4 packs of treats for her cats, Fluff and Tigger - OCR - GCSE Maths - Question 9 - 2019 - Paper 5

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Mrs Mills buys 4 packs of treats for her cats, Fluff and Tigger. She gives Fluff $ rac{1}{6}$ of a pack each day. She gives Tigger $ rac{1}{5}$ of a pack each day.... show full transcript

Worked Solution & Example Answer:Mrs Mills buys 4 packs of treats for her cats, Fluff and Tigger - OCR - GCSE Maths - Question 9 - 2019 - Paper 5

Step 1

Calculate Daily Total Treats Given

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Answer

To find out how many treats are given to both Fluff and Tigger each day, we need to sum up the amounts given to each:

Fluff receives rac{1}{6} of a pack each day, and Tigger receives rac{1}{5} of a pack each day.

To add these fractions together, we need a common denominator. The least common multiple of 6 and 5 is 30.

Converting the fractions:

  • Fluff: ( \frac{1}{6} = \frac{5}{30} )
  • Tigger: ( \frac{1}{5} = \frac{6}{30} )

Now, we can add them:

530+630=1130 packs per day.\frac{5}{30} + \frac{6}{30} = \frac{11}{30} \text{ packs per day.}

Step 2

Calculate Total Treats Available

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Answer

Mrs. Mills has 4 packs of treats available.

We will now determine how many complete days these treats will last.

To find the total number of days, divide the total packs by the daily usage:

Total Days=4 packs1130 packs per day=4×3011=1201110.91\text{Total Days} = \frac{4 \text{ packs}}{\frac{11}{30} \text{ packs per day}} = 4 \times \frac{30}{11} = \frac{120}{11} \approx 10.91

Since we need complete days, Mrs. Mills can feed her cats for 10 complete days.

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