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Here are the results of a survey of 437 people in a town - OCR - GCSE Maths - Question 9 - 2017 - Paper 1
Question 9
Here are the results of a survey of 437 people in a town. • 62 males speak Spanish. • 153 females do not speak Spanish. • 280 people do not speak Spanish. Jeff say... show full transcript
Worked Solution & Example Answer:Here are the results of a survey of 437 people in a town - OCR - GCSE Maths - Question 9 - 2017 - Paper 1
Step 1
Determine the number of females who speak Spanish
Answer
To find the total number of females, we first calculate the number of people who do speak Spanish:
Total people = 437 Total people who do not speak Spanish = 280
Thus, the number who speak Spanish = 437 - 280 = 157.
Next, we know that 62 males speak Spanish. Therefore, the number of females who speak Spanish is:
Females who speak Spanish = Total who speak Spanish - Males who speak Spanish = 157 - 62 = 95.
Step 2
Step 3
Determine if Jeff's statement is correct
Answer
Jeff claims that at least 2 out of every 5 females can speak Spanish. We need to check this ratio:
The required number of females who speak Spanish for the claim to hold true is:
total females = 248
total speaking = rac{2}{5} imes 248 = 99.2.
Since 95 is not greater than or equal to 99.2, the number of females who speak Spanish does not meet Jeff's claim. Thus, Jeff is incorrect.