The cash register in the school canteen contains x quarters and (30  x ) dimes. If the total value is $5.85, how many of each kind of coin are there? x = number of quarters 30  x = number of dimes 25x + 10(30  x) = 585 {value of coin times number of coins equals total value} 25x + 300  10x = 585 {used distributive property} 15x + 300 = 585 {combined like terms} 15x = 285 {subtracted 300 from both sides} x = 19 {divided both sides by 15} 30  x = 11 {substituted 19, in for x, into 30  x} 19 quarters and 11 dimes © Algebra House
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