Question : In a box, the ratio of the number of green stones to black stones is 5 : 8. If there are 24 black stones, then how many total stones are in the box?
Option 1: 13
Option 2: 39
Option 3: 26
Option 4: 24
Correct Answer: 39
Solution :
Let the number of green stones as 5$x$ and the number of black stones as 8$x$, where $x$ is a positive constant.
Number of black stones = 24
⇒ 8$x$ = 24
⇒ $x$ = $\frac{24}{8}$ = 3
Total stones = 5$x$ + 8$x$ = 13$x$
= 13 × 3 = 39
Total stones = Number of green stones + Number of black stones = 15 + 24 = 39
Hence, the correct answer is 39.
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