G=4ca-3ba <=> G=a(4c-3b)
<=> a=G/(4c-3b)
x = number of 1-cent stamps
y = number of 8-cent stamps
z = number of 12-cent stamps
We have 31 stamps all together, so x+y+z = 31.
"I have 4 more 1-cent stamps than 8-cent stamps" means we have the equation x = y+8. Whatever y is, add 8 to it to get x. Solve for y to get y = x-8.
You also have "twice as many one cent stamps as 12 cent stamps", so x = 2z. Solving for z gets you z = 0.5x
-------------
x+y+z = 31
x+x-8+z = 31 ... y replaced with x-8
x+x-8+0.5x = 31 ... plug in z = 0.5x
2.5x-8 = 31
2.5x = 31+8
2.5x = 39
x = 39/2.5
x = 15.6
Your teacher made a typo somewhere because we should get a positive whole number result for x (since x is a count of how many 1-cent stamps we have).
A question such as this one is a little tricky since the people seated are not in a straight line.
For a circular table seating question, (n-1)! formula is used. Without restrictions 5! people can be seated.
You might be wondering why it is not 6!, this is because the first person will the the 6 person so you are accounting for the same person twice.
Hope I helped :)
Answer:
is this weird but in all my years of school I've never learn something like this
Answer:
let the numbers be x and y then by given conditions:
x + y = 10 ….. eq 1
and
xy = 9….. eq 2
from eq 2. y = 9/x
put this in eq. 1
x + 9/x = 10
x + 9= 10x
x = 1
now,
xy = 9put value of x
y = 9
Step-by-step explanation:
Hope it is helpful....
