Question

A money box contains one-rupee and two-rupee coins in the ratio 5:6. If the total value of the coins in the money box is 85 rupees , find the number of two-rupee coins.

Answer 1

let the ratio be x

then one rupee coins = 5x

2 rupee coin = 2×6x
= 12x

total value = 85

12x + 5x = 85
17x = 85
x = 85/17
x = 5

one rupee coin = 5×5
= 25
2 rupee coin = 12 × 5
= 60

Answer 2

Given:

A money box contains one-rupee and two-rupee coins in the ratio of 5:6 and the total value of the coins in the money box are 85 rupees.

To Find:

The number of two-rupee coins.

Solution:

To find the number of two-rupee coins will follow the following steps:

As we know,

Let the common ratio is x.

Number of one rupee coin = 5x

Number of two rupee coins = 6x

Sum of total money = 85 rupees, which means one and two rupees sum is 85.

So,

5x + 12x = 85

17x = 85

$x \: = \frac{85}{17} = 5$

Number of one rupee coin = 5×5 = 25

Number of two rupee coins = 6×5 = 30

Henceforth, the number of two-rupee coins is 30.