Ruby has 3 times as many two-rupee coins as she has five rupee-coins. If she has a total ₹88, how many coins does she have of each type?

Let the number of five-rupee coins Ruby has be x.

Then, the number of two-rupee coins = 3x.

Total amount from five-rupee coins = ₹5x

Total amount from two-rupee coins = ₹2(3x) = ₹6x

According to the question, the total amount is ₹88.

So,

5x + 6x = 88

⇒ 11x = 88

⇒ x = $\dfrac{88}{11}$

⇒ x = 8

So,

Number of five-rupee coins = 8

Number of two-rupee coins = 3 × 8 = 24

Hence, Ruby has 24 two-rupee coins and 8 five-rupee coins.