Question

A bag contains 40 coins, all of them are either 2 cents or 5 cent coins. If the value of the money in the bag is $1.55, find the number of each kind.

Answer 1

$<b><marquee direction = "up"><font color = "red">Heya mate. (^_-). Solution below.$
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♠ First convert 1.55 dollars into cents -

1.55 dollars
= 1 × 100 + 55
= 100 + 55
= 155 cents.



♠ Now, let the number of 2 cents coins be x.


• It is given that 2 cents and 5 cents coins are 40 in total.


→→→ Number of 5 cents coin = 40 - x.



♠ Now, their total value is 155

=>>> 2(x) + 5(40 - x) = 155

=> 2x + 200 - 5x = 155

=> 200 - 155 = 5x - 2x

=> 45 = 3x

=> 45/3 = x

=> 15 = x

=> x = 15.



♥ Therefore, number of 2 cents coin = x = 15


♥ And, number of 5 cents coin = 40 - x = 40 - 15 = 25.
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Thank you..