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alexandr402 [8]
4 years ago
9

Six friends each use a $2-off coupon to buy themselves a movie ticket. They spend a total of $42. What is the price of one movie

ticket without the coupon?
Mathematics
1 answer:
andrey2020 [161]4 years ago
4 0

Answer:

$9

Step-by-step explanation:

1.) First, divide 42 by 6 since there are six people and the total is $42.

42/6 = 7

2.) Now, add $2 to 7 since 7  was the price of the movie ticket AFTER the $2  were taken off of it

x = 7+2x=9

4.) So, one movie ticket (x) = $9

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Step-by-step explanation:

\frac{7x}{3y} + \frac{12x}{9y}

To add the two fractions, you need a common denominator.  In this case, the lowest common denominator (LCD) is 9y.  That's because 9y is divisible by both 3y and 9y.

The first fraction must be changed so that its denominator is 9y.  Do this by multiplying both numerator and denominator by 3.

\frac{7x}{3y}\cdot\frac{3}{3}+\frac{21x}{9y}=\frac{21x}{9y}+\frac{12x}{9y}\\=\frac{21x+12x}{9y}\\=\frac{33x}{9y}

Finally, this answer can be simplified ("reduced") by dividing both numerator and denominator by 3, their greatest common factor.

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