Athletics club
An athletics club has girl, boy and adult members. How many members does the club have?
Problem
An athletics club has two types of member: junior and adult. The junior members are either boys or girls. There are $16$ more adult members than there are junior members.
The ratio of girls to boys to adults is $3:4:9$.
In total, how many members does the club have?
If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.
Student Solutions
Answer: 128
$$\overbrace{\text{girls} : \text{boys} }^{\text{juniors}}: \text{adults}\\
\underbrace{\hspace{2mm}3\hspace{4mm}:\hspace{4mm} 4\hspace{2mm}}\hspace{2mm} :\hspace{2mm} 9\hspace{4mm}\hspace{3mm}\\
\hspace{3mm}7\hspace{12mm}:\hspace{2mm}9\\
\hspace{4mm}\\
\text{difference} = 16 \hspace{4mm}\\
\hspace{4mm}\\
2 \text{ parts} = 16\\
1 \text{ part} = 8\\
7 \text{ parts} = 56\\
9 \text{ parts} = 72\\
56 + 72 = 128$$