General Mathematics

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29.07.2022 - 07:52

The first of two films lasted 3 minutes less than twice as long as the second. Together, the two films lasted 132 minutes. How long was the first film?

Question:

The first of two films lasted 3 minutes less than twice as long as the second. Together, the two films lasted 132 minutes. How long was the first film?

Answers (1)

Dixie April 10, 2023 в 23:08

Let's start by assigning variables to the lengths of the two films. Let x be the length of the second film. According to the problem, the first film lasted 3 minutes less than twice as long as the second film. This can be represented as: 2x - 3 Together, the total length of both films is 132 minutes. So we can create an equation: x + (2x - 3) = 132 Simplifying the equation: 3x - 3 = 132 Adding 3 to both sides: 3x = 135 Dividing by 3: x = 45 Therefore, the second film was 45 minutes long. To find the length of the first film, we can substitute x in the equation we created earlier: 2x - 3 = 2(45) - 3 = 87 Therefore, the first film was 87 minutes long.

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