The expression 9x plus 6 represents the cost for 3 friends to go to the movies. Write 9x plus 6 as a product. Then tell how many friends went to the movies and what expression represents the cost of the movie ticket.
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Answer:
9x + 6 = 3 ( 3x + 2 )
Cost of one ticket is 3x + 2
Step-by-step explanation:
The total cost for the 3 friends is "9x plus 6"; i.e. 9x + 6.
"Write this as a product" is telling us to factorize the expression. Since 3 is a common factor of each term (of 9x and also of 6), this is the factor we want:
9x + 6 = 3 ( 3x + 2 )
Since this is the cost for 3 tickets, the cost of one ticket is what we get when we divide this by 3. So the cost of one ticket is
3x + 2
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