The math club could rent the room for up to 8 hours. I have also attached a picture of the work in case you need it.
Answer:
x = Rs 20,833.33
the value of x is Rs 20,833.33
Step-by-step explanation:
Let x,y and z represent the price of the item initially, after one month and after two months respectively.
Given that;
after one month its label price is reduced by 20%
y = x - 20% of x
y = x - 0.20x
y = 0.80x ........1
after 2 months its reduced price is further reduced by 10% and then sold it for Rs 15000.
z = y - 10% of y
z = y - 0.10y
z = 0.90y ........2
Substituting equation 1 into 2;
z = 0.90(0.80x)
z = 0.72x
Also z = Rs 15000
So,
z = 0.72x = Rs 15000
0.72x = Rs 15000
x = Rs 15000/0.72
x = Rs 20833.33333333
x = Rs 20,833.33
the value of x is Rs 20,833.33
2x + 3(8 - 3x) = 3
2x + 24 -9x = 3
-7x = -21
x = 3
y = 8 - 3x
y = 8 - 3(3)
y = 8-9
y = -1
Check the math:
2(3) + 3(-1) = 6 - 3 = 3
If you would like to know for how many days will 1/2 of a bag of dog food last, you can calculate this using the following steps:
1 day ... 3 bags of dog food
x days = ? ... 1/2 of a bag of dog food
1 * 1/2 = 3 * x
1/2 = 3 * x /3
x = 1/2 * 1/3
x = 1/6 of a day
The correct result would be 1/6 of a day.