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A group of students are intending to offer a present to a friend. If each one pays 3000 LL.
on amount of 6000 LL is still needed, while if each one pays 4000 LL, they will collect
2000 LL more. Calculate the number of the students, and the price of the present​

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opudodennis

Answer:

There are 8 friends and the presents costs $30,000

Step-by-step explanation:

Let x be the number of students and y be the price of the present. Their contributions can be expressed as:

[tex]3000x=y-6000\ \ \ \ \ \ ...i\\\\4000x=y+2000\ \ \ \ \ \ \ \...ii[/tex]

#Make y the subject in equation i then substitute in ii:

[tex]y=3000x+6000\\\\\#substitute \ in \ ii\\\\4000x=y+2000\\\\4000x=(3000x+6000)+2000\\\\1000x=8000\\\\x=8\\\\y=3000\times 8+6000\\\\y=30000[/tex]

Hence, there are 8 friends and the present is priced at $30,000

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