Ruby has 3 times as many two-rupee coins as she has five rupee-coins. If she has a total Class 9

Ruby has 3 times as many two-rupee coins as she has five rupee-coins. If she has a total Class 9

Question 1.

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? Class 9

Solution:

Let the number of five-rupee coins be x.

∴ Number of two-rupee coins = 3x

Now,

The value of each type of coins is given by,

x five-rupee coins = 5x

3x two-rupee coins = 2(3x) = 6x

According to the given condition,

Total value of the coins = ₹ 88

∴ 5x + 6x = 88

∴ ₹ 11x = 88

∴ x = [latex]\frac{88}{11}[/latex] = 8

Number of two-rupee coins = 3x = 3(8)

= 24

∴ Ruby has 8 five-rupees coins and 24 two-rupee coins.