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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