# math

There are 70 woman in a club. Each plays at least one of the following games: volleyball, basketball and table tennis. 20 play volleyball only,10 play basketball only and 6 play table tennis only. 4 play all the three games and an equal number play two games only.
a) illustrate this information on a Venn diagram
b) find the number of woman who lay volleyball

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1. Sketch your three intersecting circles, V, B, and T
place 20, 10 and 6 in the "only" part of the circles.
Place 4 in the intersection of all circles.
Place x in the remaining parts of the circle.
x + x + x + 4 + 20 + 10 + 6 = 70
3x + 40 = 70
3x = 30
x = 10

Now you know all parts of the different circles

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2. 10

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3. yh x=10

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4. x=10

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6. 37. There are 70 women in a club. Each
plays at least one of the following
tennis. 20 play volleyball only, 10 play
basketball only and 6 play table-tennis
only. 4 play all three games and an
equal number play two games only.
a) Illustrate this information on a Venn
diagram.
b) Find the number of women who lay
volleyball.

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7. Using equation for the question please

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8. thanks, but the (b) is not answered

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9. Since x=10, n(v)=20+10+10+4=44

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10. Since x=10
N(v)=20+10+10+4
=44

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