Janice has $2.30 made up of dimes, pennies and quarters. She has as many dimes as pennies and she has 17 coins in all. How many quarters does she have?
x = number of pennies
x = number of dimes {she has as many dimes as pennies} 17  2x = number of quarters {subtracted dimes and pennies from total number of coins} x + 10x + 25(17  2x) = 230 {value of a coin times number of coins equals total value} 11x + 425  50x = 230 {used distributive property} 39x + 425 = 230 {combined like terms} 39x = 195 {subtracted 425 from each side} x = 5 {divided each side by 39} 17  2x = 7 {substituted 5, in for x, into 17  2x} She has 7 quarters. Ask Algebra House
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