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Kamila [148]
3 years ago
7

Just to need solve this asap

Mathematics
1 answer:
ANTONII [103]3 years ago
3 0

Answer: 55

Step-by-step explanation:

Given

Values are presented in the Venn diagram

No of left-handed students n(A)=25

No of vegetarians students n(B)=45

Students who are left-handed and vegetarian is given by n(A\cap B)=15

n(A\cup B) is given by n(A\cup B)=n(A)+n(B)-n(A\cap B)

Put the values

n(A\cup B)=25+45-15\\n(A\cup B)=55

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\stackrel{Adam~received}{18\cdot \cfrac{x}{18+17}}\qquad \qquad \stackrel{Tom~received}{17\cdot \cfrac{x}{18+17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that Adam got "5" more}}{ \stackrel{Adam}{18\cdot \cfrac{x}{18+17}}~~ = ~~\stackrel{Tom}{17\cdot \cfrac{x}{18+17}~~ + ~~5} }\qquad \implies \qquad \cfrac{18x}{35}~~ + ~~\cfrac{17x}{35}+5

\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{35}}{35\left( \cfrac{18x}{35} \right)~~ = ~~35\left( \cfrac{17x}{35}+5 \right)}\implies 18x~~ = ~~17x+175\implies \boxed{x =175} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Tom~received}{17\cdot \cfrac{x}{18+17}}\implies \cfrac{17(175)}{35}\implies \blacktriangleright 85 \blacktriangleleft

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