Of $30$ snakes at the reptile house, $10$ have stripes, $21$ are poisonous, and $5$ have no stripes and are not poisonous. How many of the snakes have stripes AND are poisonous?

5

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6

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10

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8

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Solution

The correct option is D $6$
Use a double-set matrix to solve this problem. First, fill in the numbers given in the problem: $30$ snakes, $10$ with stripes (and therefore $20$ without), $21$ that are poisonous (and therefore $9$ that are not), and $5$ that are neither striped nor poisonous. Use subtraction to fill in the rest of the chart. Thus, $6$ snakes have stripes and are poisonous.
Stripes No Stripes Total
Poisonous $6$ $21$
Not Poison $4$ $5$ $9$
Total $10$ $20$ $30$

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	Stripes	No Stripes	Total
Poisonous	$6$		$21$
Not Poison	$4$	$5$	$9$
Total	$10$	$20$	$30$

Of 30 snakes at the reptile house, 10 have stripes, 21 are poisonous, and 5 have no stripes and are not poisonous. How many of the snakes have stripes AND are poisonous?

Of $30$ snakes at the reptile house, $10$ have stripes, $21$ are poisonous, and $5$ have no stripes and are not poisonous. How many of the snakes have stripes AND are poisonous?