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Algebra Difficulty 1.3 Junior Find the answer Canada

Rachel, Christophe and Alfonzo are paid to organize some books.
In total, they are paid $\$50$ .
Alfonzo is paid $\$14$ . Rachel is
paid twice what Christophe is paid. How much is Christophe paid?

Pick one

Solutions — 2

Solution 1

Alfonzo is paid $\$14$ of the
$\$50$ . Together, Rachel and
Christophe are paid $\$50-\$14=\$36$ .

Rachel is paid twice what Christophe is paid, and so Rachel is paid
$\frac23$ of $\$36$ and Christophe is paid $\frac13$ of $\$36$ .

Thus, Christophe is paid $\frac13\times\$36=\$12$ .

Solution 2

In total, Rachel, Christophe and Alfonzo are paid $\$50$ . Since Alfonzo is paid $\$14$ , then in total, Rachel and
Christophe are paid $\$50-\$14=\$36$ .
Rachel is paid twice what Christophe is paid, and so Rachel is paid
$\dfrac23$ of $\$36$ and Christophe is paid $\dfrac13$ of $\$36$ , or $\dfrac{\$36}{3}=\$12$ .

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.