Two newspapers, Graphic and Times are
delivered to 40 houses in Adenta. Each
house receives at least one copy of a
newspaper. In all, 26 copies of Graphic
and 24 copies of Times are delivered
Find the number of houses which receive
Times only​

Respuesta :

Answer:

The number of houses that receive Times only is 14

Step-by-step explanation:

As shown in the diagram, let:

U=[the total number of houses]

[tex] \implies n(U)=40[/tex]

G =[the houses that receive Graphic]

[tex] \implies n(G)=26[/tex]

T=[the houses that receive Times]

[tex] \implies n(T)=24[/tex]

x=[the houses that receive both Graphic and Times]

Let solve for x

From the diagram we can write,

n(U)=n(G)-x+x+n(T)-x

This implies that,

40=26-x+x+24-x

40=50-x

x=50-40

x=10

Also, from the diagram the region that denotes Times only is 24-x

Substituting the value for x, we obtain

24-10=14

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