Heena has only Rs. 2and Rs.5 coins in her purse.If in all she has 80 coins in her purse amounting to Rs. 232, find the number of Rs. 5 coins.
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Solution:
Let the no. of coins of Rs. 2 be X and Rs. 5 be Y.
According to the given conditions,
X + Y = 80 .....(E1)
and 2X + 5Y = 232 ....(E2)
multiplying E1 by 2, we get,
2X + 2Y = 160 ....(E3)
subtracting E3 from E2, we get,
3Y = 72
Therefore, Y = 24
Hence, the number of Rs. 5 coins is 24.
Let the no. of coins of Rs. 2 be X and Rs. 5 be Y.
According to the given conditions,
X + Y = 80 .....(E1)
and 2X + 5Y = 232 ....(E2)
multiplying E1 by 2, we get,
2X + 2Y = 160 ....(E3)
subtracting E3 from E2, we get,
3Y = 72
Therefore, Y = 24
Hence, the number of Rs. 5 coins is 24.
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