Question

This month, Kami sold $70$ figurines in $2$ sizes. The large figurines sold for $12$ each, and the small figurines sold for $8$ each. The amount of money he received from the sales of the large figurines was equal to the amount of money he received from the sales of the small figurines. How many large figurines did Kami sell this month?

• A. $20$
• B. $28$
• C. $35$
• D. $42$

Answer 1

The correct option is B $28$

Let the number of large figurines be $l$ and the number of small figurines be $s$.

It is given that $l+s=70$ i.e., $s=70-l$.

Use this to substitute for $s$ in $12l=8s$ as shown below:

$12l=8(70-l)$

$\Rightarrow 12l=560-8l$

$\Rightarrow 20l=560$

$\Rightarrow l=28$

Hence, option B is correct.