200 students chose one language to study - Edexcel - GCSE Maths - Question 3 - 2022 - Paper 3
Question 3
200 students chose one language to study.
Each student chose one language from French or Spanish or German.
Of the 200 students.
90 are boys and the rest of the st... show full transcript
Worked Solution & Example Answer:200 students chose one language to study - Edexcel - GCSE Maths - Question 3 - 2022 - Paper 3
Step 1
Calculate the Number of Girls and Those Who Chose German
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Answer
There are 200 students in total, and 90 are boys. Thus, the total number of girls is:
200−90=110
From the question, we know that 18 girls chose German. Therefore, the total number of girls who chose French and Spanish is:
110−18=92
Step 2
Calculate the Number of Boys Who Chose French
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Answer
It is given that 60 of the 104 students who chose French are boys. Thus, the number of girls who chose French is:
104−60=44
Step 3
Calculate the Number of Boys Who Chose Spanish
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Answer
Now, we have determined that 44 girls chose French and there are 92 total girls who chose either Spanish or French. Therefore, the number of girls who chose Spanish is:
92−44=48
Since there are 70 students who chose Spanish, the number of boys who chose Spanish can be found as follows:
