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, 2020

Algebra Difficulty 1.3 Junior Find the answer Canada

Roman wins a contest with a prize of $200. He gives 30% of the prize to Jackie. He then splits 15% of what remains equally between Dale and Natalia. How much money does Roman give Dale?

$\$10.50$
$\$15.00$
$\$4.50$
$\$25.50$
$\$59.50$

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

To determine 30% of Roman’s $200 prize, we calculate$ \$200 $\times$ 30\% = \$200 $\times \frac{30}{100}$ = \$2 $\times$ 30 = \$60$.

After Roman gives $60 to Jackie, he has$ \$200 - \$60 = \$140$ remaining.

He splits 15% of this between Dale and Natalia.

The total that he splits is $\$140 \times 15\% = \$140 \times 0.15 = \$21$ .

Since Roman splits 21 equally between Dale and Natalia, then Roman gives Dale a total of \$21 $\div$ 2 = \$10.50$.

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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.