prachi has rs. 1000 in her denominations of rs. 5 and rs.2 coins .if the number of 2 rupee coins anuj has is five-eights of the number if five rupee coins,how many coins of each type anuj have.
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number of Rs. 5 coins = x
then, the money = 5x
number of Rs. 2 = 5x/8
then, the money = 2 * 5x/8
= 5x/4
According to the question,
=> 5x + 5x/4 = 1000
after taking L.C.M.,
=> 20x + 5x = 4000
=> 25x = 4000
=> x = 4000/25
=> x = 160
Therefore, Rs. 5 coins = x = 160 coins
Rs. 2 coins = 5x/4 = 5 * 160/8
= 100 coins
then, the money = 5x
number of Rs. 2 = 5x/8
then, the money = 2 * 5x/8
= 5x/4
According to the question,
=> 5x + 5x/4 = 1000
after taking L.C.M.,
=> 20x + 5x = 4000
=> 25x = 4000
=> x = 4000/25
=> x = 160
Therefore, Rs. 5 coins = x = 160 coins
Rs. 2 coins = 5x/4 = 5 * 160/8
= 100 coins
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