Nikkis charges are 20,40,50,80. Dave’s charges are 25 and 37.5.
Answer:
6
Step-by-step explanation:
you first divide 81 by 18 and get 4.5, that is the number of children per adult.
next you'll divide 27 by 4.5 and 6.
that's the answer.
Answer:
y=8
Step-by-step explanation:
![\frac{1}{3} x + \frac{1}{4}y= 1\\\\\frac{4x+3y}{12} =1\\4x+ 3y =12\\y = \frac{12-4x}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20x%20%2B%20%5Cfrac%7B1%7D%7B4%7Dy%3D%201%5C%5C%5C%5C%5Cfrac%7B4x%2B3y%7D%7B12%7D%20%3D1%5C%5C4x%2B%203y%20%3D12%5C%5Cy%20%3D%20%5Cfrac%7B12-4x%7D%7B3%7D)
let's note this as our equation no. (i)
and let 2x-3y = -30 be the equation no. (ii)
Put value of y from (i) into (ii)
![2x -3y = -30\\2x-3(\frac{12-4x}{3} )=-30\\2x -12+4x = -30\\6x = -30+12\\6x= -18\\x = -3](https://tex.z-dn.net/?f=2x%20-3y%20%3D%20-30%5C%5C2x-3%28%5Cfrac%7B12-4x%7D%7B3%7D%20%29%3D-30%5C%5C2x%20-12%2B4x%20%3D%20-30%5C%5C6x%20%3D%20-30%2B12%5C%5C6x%3D%20-18%5C%5Cx%20%3D%20-3)
Now put x = -3 back in equation (i)
![y = \frac{12-4x}{3}\\y = \frac{12 - 4(-3)}{3}\\y = \frac{12 + 12}{3} \\y = 8](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B12-4x%7D%7B3%7D%5C%5Cy%20%3D%20%5Cfrac%7B12%20-%204%28-3%29%7D%7B3%7D%5C%5Cy%20%3D%20%5Cfrac%7B12%20%2B%2012%7D%7B3%7D%20%20%20%5C%5Cy%20%3D%208)
That solid figure that you are is a square.