David Weber, Talei Kunkel, Alexander Martinez and, Rebecca Shultis Solutions for Chapter: Ratios and Proportions Competition and Cooperation, Exercise 9: Practice 1

Given the following ratios and totals, find the portion represented by each part of the ratio.

ratio$=2 : 4 : 5 : 9$ , total$=120$

In a regional mathematics competition, the ratio of Swedish students to Danish students to Finnish students is $14 : 22 : 13$. Altogether, there are $1029$ students. Find how many students come from each of the three countries. Show your working.

Given that the ratios in each part below are equivalent, find what quantity each variable represent.

$1 : 4=2 : \mathrm{k}$

Given that the ratios in each part below are equivalent, find what quantity each variable represent.

$2 : 5 : 8=16 : \mathrm{p} : 64$

Given that the ratios in each part below are equivalent, find what quantity each variable represents.

$8 : 7= 24 : x$

Given that the ratios in each part below are equivalent, find what quantity each variable represents.

$2 : 3 : 7= 14 : \mathrm{r} : \mathrm{s}$

Given that the ratios in each part below are equivalent, find what quantity each variable represents.

$2 : 7 : 10= 1 : \mathrm{q} : 5$

Given that the ratios in each part below are equivalent, find what quantity each variable represents.

$4 : 1 : 12=6 : z : 18$