Ruth emptied her bank. She found that she had 84 coins all nickels and dimes. The value of the coins was 7.15. How many dimes did she have? - 84 coins in nickels and dimes - value was $7.15 x = number of nickels 84 - x = number of dimes {there were 84 coins in all} 5x + 10(84 - x) = 715 {number of coins times value of coins equals total value} 5x + 840 - 10x = 715 {used distributive property} -5x + 840 = 715 {combined like terms} -5x = -125 {subtracted 840 from both sides} x = 25 {divided both sides by -5} 84 - x = 59 {substituted 25, in for x, into 84 - x} 25 nickels and 59 dimes © Algebra House
2 Comments
Moe
1/3/2013 12:58:42 pm
Thank u it really helped im doing horible in algebra i really need help
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Algebra House
1/3/2013 01:22:44 pm
Thank you!
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