Question

In an international athletics competition, 3 countries are participating.
Out of the total 60 medals awarded, there are 20 each of bronze, silver, and gold.
France won 13 gold medals against two countries, and Germany won 5 gold medals.
Australia won one-third of all the medals with an equal number of bronze and silver medals.
How many silver medals did Australia win?

• A. 6
• B. 7
• C. 18
• D. 9

Answer 1

The correct option is D 9

Total medals awarded = 60
Number of gold medals = 20
Number of silver medals = 20
Number of bronze medals = 20

$Goldmedals:$
Total medals awarded = 20
France = 13
Germany = 5
Remaining won by Australia
= 20 – 13 – 5 = 2


$Australia:$
Total medals won by Australia
$=\frac{1}{3}\times Totalmedals=\frac{1}{3}\times 60=20$

Gold medals = 2
∴ Number of silver and bronze medals = 20 – 2
= 18

We know that Australia won an equal number of silver and bronze medals.

Thus, the number of silver medals won
$=\frac{1}{2}\times 18$

$=9$

Thus, Australia won 9 silver medals in the competition.