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F.1 EXAM MATHS QUESTIONS

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I HAVE SOME QUESTIONS ABOUT MATHEMATICSGloria has some coins. The number of $5 coins is 37.5% more that the number of $1 coins and the value of $5 coins is $3 less than seven times the value of $1 coins. (a) Find the number of $1 coins. (b) Find the total value of all coins. (c) To minimize the... 顯示更多 I HAVE SOME QUESTIONS ABOUT MATHEMATICS Gloria has some coins. The number of $5 coins is 37.5% more that the number of $1 coins and the value of $5 coins is $3 less than seven times the value of $1 coins. (a) Find the number of $1 coins. (b) Find the total value of all coins. (c) To minimize the number of coins ,Gloria exchanged all the coins with Alex into $10 coins ,$5 coins and $2 coins . Find the change in the number of coins after the exchange. THANKS

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Let there be x $5 coins and y $1 coins. Because [The number of $5 coins is 37.5% more that the number of $1 coins] x = (1+0.375)y x = 1.375y .......... (1) Because [ the value of $5 coins is $3 less than seven times the value of $1 coins. ] 5x + 3 = 7y ......... (2) Sub. (1) into (2) 5(1.375y) + 3 = 7y 6.875y + 3 = 7y 3 = (7-6.875)y = 0.125y y = 3/0.125 = 24 Sub into (1) x = 1.375y = (1.375)(24) = 33 a) There are 24 $1 coins b) Total values = (33)(5) + (24)(1) = 189 c)Because [ minimize the number of coins ] After exchange, there are : 18 X $10 1 X $5 2 X $2 Total number of coins before exchange = x+y = 33 + 24 = 57 Total number of coins after exchange = 18 + 1 + 2 = 21 Change in the number of coins = 57 - 21 = 36

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