Answered

A group of people want to rent a lodge at a ski resort for $360. If 2 more people join the

group, each person’s share for the rent will be reduce by $9. How many people were in

the original group?

Verified Answer :

Yiyi123

Answer:

I hope the picture will help you

Step-by-step explanation:

While making the equation, that 360 upon x is cost of each person in the original group and 360 upon x + 2 is the cost of each person after adding two person in the group. then I have subtracted 9 from the 360 upon x because in the question it says that the each cost after adding the two member is less than 9 to that of cost of each person in the original group. I hope you understand. thank you!!

View image Yiyi123

Answer:

Step-by-step explanation:

x = original group

Given:

360 / x   -9   =  360 / (x+2)  Find common denominator on the LEFT

(360 - 9x) / x  = 360/ (x+2)       cross multiply

360x - 9x^2 + 720 - 18x  = 360 x     simplify

9x^2 + 18x - 720 = 0     simplify further by dividing through by '9'

x^2 + 2x - 80 = 0     factor

(x +10)(x-8) = 0     shows x = 8 or -10 ( throw out==>  extraneous)

x = 8 people originally

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