CEMC Cayley, 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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