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melisa1 [442]
3 years ago
5

Lena and 3 of her friends bought just enough food to go on a 12- day camping trip. Pete and Jane surprised them by showing up at

the start of the trip and asking to join, but they brought no food. By what percent would the time for the trip shorten for the trip if everyone ate their normal portions?
Mathematics
1 answer:
bekas [8.4K]3 years ago
4 0

The number of people increased by 2.

This means as a ratio it is now 6/4 as many as originally planned.

6/4 can be reduced to 3/2.

The time and the number of people are inversely proportional, so the food would last 2/3 ( inverse is flipping the original ratio over) the original length of time.

This means the length of time the food lasts is reduced by 1/3, which is 33.3%

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Step-by-step explanation:

Given,

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Let,

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x+y=1360        Eqn 1

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Subtracting Eqn 2 from Eqn 3

(12x+12y)-(8x+12y)=16320-13328\\12x+12y-8x-12y=2992\\4x=2992\\

Dividing both sides by 4

\frac{4x}{4}=\frac{2992}{4}\\x=748

748 student tickets were sold.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/774670
  • brainly.com/question/763150

#LearnwithBrainly

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