Answer:
$89.79
Step-by-step explanation:
156.87-21.58-45.5 = $89.79
check the picture below.
![\bf tan(22^o)=\cfrac{x}{80}\implies \boxed{80tan(22^o)=x} \\\\[-0.35em] ~\dotfill\\\\ tan(43.5^o)=\cfrac{y+x}{80}\implies 80tan(43.5^o)=y+x\implies 80tan(43.5^o)-x=y \\\\\\ 80tan(43.5^o)-80tan(22^o)=y\implies 43.59506727037783689501 \approx y \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{rounded~up}{44=y}~\hfill](https://tex.z-dn.net/?f=%5Cbf%20tan%2822%5Eo%29%3D%5Ccfrac%7Bx%7D%7B80%7D%5Cimplies%20%5Cboxed%7B80tan%2822%5Eo%29%3Dx%7D%0A%5C%5C%5C%5C%5B-0.35em%5D%0A~%5Cdotfill%5C%5C%5C%5C%0Atan%2843.5%5Eo%29%3D%5Ccfrac%7By%2Bx%7D%7B80%7D%5Cimplies%2080tan%2843.5%5Eo%29%3Dy%2Bx%5Cimplies%2080tan%2843.5%5Eo%29-x%3Dy%0A%5C%5C%5C%5C%5C%5C%0A80tan%2843.5%5Eo%29-80tan%2822%5Eo%29%3Dy%5Cimplies%2043.59506727037783689501%20%5Capprox%20y%0A%5C%5C%5C%5C%5B-0.35em%5D%0A%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%0A~%5Chfill%20%5Cstackrel%7Brounded~up%7D%7B44%3Dy%7D~%5Chfill)
make sure your calculator is in Degree mode.
This question is based on least common multiple method.
As given in the question,
Aunts are taking pictures in group of = 5
Uncles are taking pictures in group of = 10
So we have been asked what is the minimum number of aunts Sana have.
As we have been given that the number of aunts and uncles is equal so to find the minimum number of aunts we will apply the least common multiple method.
So we get LCM of 5,10 as 10
Hence there are minimum 10 aunts.
It is true since you’re multiplying the same number on both the sides