Sumita has 10 paise and 50 paise coins in her purse. if the total number of coins is 17 and their total value is Rs. 4. 50, find the number of each type of coins
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10 paise ke 10 coins and 50 paise ke 7coins.total 17coins.
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let no. of 50paise coins be x
∵total no. of coins = 17
∴no. of 10paise coins =17-x
total value =Rs4.50=450paise
value of 50paise coins =50 × x= 50x
value of 10paise coins =10 ×(17 - x)=170 - 10x
∴50x + 170 - 10x =450
⇒40x + 170 =450
⇒40x =450-170
⇒40x =280
⇒x =280/40
⇒x =7
∴number of 50paise coins =x =7
∴number of 10paise coins =17 - x =17 - 7 =10
∵total no. of coins = 17
∴no. of 10paise coins =17-x
total value =Rs4.50=450paise
value of 50paise coins =50 × x= 50x
value of 10paise coins =10 ×(17 - x)=170 - 10x
∴50x + 170 - 10x =450
⇒40x + 170 =450
⇒40x =450-170
⇒40x =280
⇒x =280/40
⇒x =7
∴number of 50paise coins =x =7
∴number of 10paise coins =17 - x =17 - 7 =10
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