Question

Heena has only 2 and 5 coins in her purse. If in all she has 80 coins in her purse
amounting to 232, find the number of 5 coins.​

Answer 1

Answer:

Heena has 24 5 rupee coins.

Step-by-step explanation:

Let the no. 2 rupee coins be x.

Let the no. of 5 rupee coins be y.

Now, acc. to ques, she has a total of 80 coins.

=> x + y = 80 ---(i)

Also, acc. to ques, all coins amount to Rs. 232.

=> 2x + 5y = 232---(ii)

Subtracting [(ii) from (i)],

2x + 5y = 232

x + y = 80

=> 2x + 5y = 232

    2x + 2y = 160         (Multiplying by 2)

----------------------------

    5y - 2y = 232 - 160

=> 3y = 72

∴ y = 72/3 => 24

Putting y = 24 in (i),

x + 24 = 80

∴ x = 80 - 24 => 56

Thus, the number of 5 rupee coins that Heena has is 24 (coins).