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timozy95
08.10.2021 •
Mathematics
Suppose ABC- > XYZ is a reflection across the line x = 0. If A(8, 9) what is the y coordinate of X? PLEASE HELP ME FASTER
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Ответ:
the number of students who study only French = f;
the number of students who study only Spanish = s;
the number of students who study both French & Spanish = b;
Thus,
the number of students who study French = f + b;
the number of students who study Spanish = s + b;
the number of students who study neither French nor Spanish = n = b (given)
=> f + s + b + n = 200 => f + s + 2b = 200 ---(1)
Given 'One-quarter of those who study Spanish also study French,' we have (s + b)/4 = b => s = 3b ---(2)
Given 'The total number who study French is 10 fewer than those who study Spanish only,' we have f + b = s - 10 => s = f + b + 10 ---(3)
From (2) and (3), we have f + b + 10 = 3b => f = 2b - 10 ---(4)
From (1) and (4), we have
f + s + 2b = 200
=> 2b - 10 + 3b + 2b = 200
b = 30
Thus, f = 2b - 10 = 2*30 - 10 = 5
Hope this helps!