225,113 rounded to the nearest hundred thousand is 300,000
Answer:
g(q) = ![\frac{5q}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B5q%7D%7B8%7D)
Step-by-step explanation:
Given
- 7q + 12r = 3q - 4r
Rearrange making r the subject
Add 7q to both sides
12r = 10q - 4r ( add 4r to both sides )
16r = 10q ( divide both sides by 16 )
r =
=
, thus
g(q) = ![\frac{5q}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B5q%7D%7B8%7D)
whenever we have an amount to be divided in ratios, we simply divide the total amount by the sum of those ratios and then distribute accordingly. In this case, let's divide 77.40 by (1+3+5) and then distribute accordingly to each chap.
![\bf \stackrel{Paul}{1}~~:~~\stackrel{Colin}{3}~~:~~\stackrel{Brian}{5}~\hfill \cfrac{77.40}{1+3+5}\implies 8.6 \\\\\\ \stackrel{Paul}{1\cdot 8.6}~~:~~\stackrel{Colin}{3\cdot 8.6}~~:~~\stackrel{Brian}{5\cdot 8.6}\qquad \implies \qquad \stackrel{Paul}{8.6}~~:~~\stackrel{Colin}{25.8}~~:~~\stackrel{Brian}{43} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{Brian get this much more than Paul}}{43-8.6\implies 34.4}~\hfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7BPaul%7D%7B1%7D~~%3A~~%5Cstackrel%7BColin%7D%7B3%7D~~%3A~~%5Cstackrel%7BBrian%7D%7B5%7D~%5Chfill%20%5Ccfrac%7B77.40%7D%7B1%2B3%2B5%7D%5Cimplies%208.6%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7BPaul%7D%7B1%5Ccdot%208.6%7D~~%3A~~%5Cstackrel%7BColin%7D%7B3%5Ccdot%208.6%7D~~%3A~~%5Cstackrel%7BBrian%7D%7B5%5Ccdot%208.6%7D%5Cqquad%20%5Cimplies%20%5Cqquad%20%5Cstackrel%7BPaul%7D%7B8.6%7D~~%3A~~%5Cstackrel%7BColin%7D%7B25.8%7D~~%3A~~%5Cstackrel%7BBrian%7D%7B43%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20~%5Chfill%20%5Cstackrel%7B%5Ctextit%7BBrian%20get%20this%20much%20more%20than%20Paul%7D%7D%7B43-8.6%5Cimplies%2034.4%7D~%5Chfill)