Samantha has 30 coins, consisng of 25 paise and 10 paise, which total Rs. 5.70. How many of each does she have?
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Answer:
There are 18 , 25-paise coins and
12 , 10-paise coins
Step-by-step explanation:
let the no. of 25paise coins = x
and no. of 10 paise coins = y
given, x + y = 30 -------------- (1)
=> y = 30-x ----------(2)
also given, 25x + 10y = 570 (paise)
=> 25x + 10(30-x) = 570
=> 25x + 300 - 10x = 570
=> 15x = 570-300
=> 15x = 270
=> x = 270/15
=> x = 18
so, (2) => y = 30-18
=> y = 12
verification,
25(18) + 10(12)
= 450 + 120
= 570 paise
= Rs. 5.70
hence verified
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