Jack sent 15% more text messages in March than in February - OCR - GCSE Maths - Question 6 - 2018 - Paper 1
Question 6
Jack sent 15% more text messages in March than in February.
Jack sent 460 text messages in March.
How many more texts did Jack send in March than February?
Worked Solution & Example Answer:Jack sent 15% more text messages in March than in February - OCR - GCSE Maths - Question 6 - 2018 - Paper 1
Step 1
Calculate the number of texts sent in February
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Answer
Let the number of texts sent in February be ( x ). Since Jack sent 15% more texts in March than in February, the relationship can be expressed as:
[ 460 = x + 0.15x ]
[ 460 = 1.15x ]
To find ( x ), divide both sides by 1.15:
[ x = \frac{460}{1.15} \approx 400 ]
Step 2
Find how many more texts were sent in March
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Answer
To find the difference in the number of texts sent in March and February, calculate:
[ 460 - 400 = 60 ]
Thus, Jack sent 60 more texts in March than in February.
