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on checking with 95 families, it was found that 75 families subscribe to time, 50 to newsweek, and 5 to neither magazine. how many subscribe to both? families

1 Answer

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We can solve this problem by using a Venn diagram. Let's start by drawing two circles, one for Time and one for Newsweek:

```

_________

/ \

/ \

/_______________\

| |

| |

| |

| |

| |

| Time |

| |

| |

| |

| |

|_______________|

\ /

\ /

\_________/

Newsweek

```

Let x be the number of families that subscribe to both magazines. Then, we know that:

- 75 - x subscribe to Time only

- 50 - x subscribe to Newsweek only

- 5 subscribe to neither

We want to find the value of x. We know that the total number of families surveyed is 95, so:

Total = Time only + Newsweek only + Both + Neither

95 = (75 - x) + (50 - x) + x + 5

Simplifying the equation, we get:

95 = 130 - x

x = 35

Therefore, 35 families subscribe to both Time and Newsweek.

User Haltersweb
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