Answer :
Answer:
Number of 50 paisa coins are 60
Step-by-step explanation:
Let assume that number of 25 paisa coins be x and number of 50 paisa coins be y.
Case - 1 Total number of 25 paisa and 50 paisa coins are 100
So, we have
[tex]\sf\: x + y = 100 \\ [/tex]
[tex]\implies\sf\:x = 100 - y - - - (1) \\ [/tex]
Case - 2 Total worth of 25 paisa and 50 paisa coins be Rs 40. (i.e. 40 × 100 = 4000 paise)
So, we have
[tex]\sf\: 25x + 50y = 4000 \\ [/tex]
[tex]\sf\: 25(x + 2y) = 4000 \\ [/tex]
[tex]\sf\: x + 2y = \dfrac{4000}{25} \\ [/tex]
[tex]\sf\: x + 2y = 160 \\ [/tex]
On substituting the value of x from equation (1), we get
[tex]\sf\: 100 - y + 2y = 160 \\ [/tex]
[tex]\sf\: 100 + y = 160 \\ [/tex]
[tex]\sf\: y = 160 - 100 \\ [/tex]
[tex]\implies\sf\:y = 60 \\ [/tex]
Hence, number of 50 paisa coins are 60