Posted by **Anonymous** on Sunday, October 7, 2012 at 3:19pm.

Anne has 20 coins in her pocket consisting of nickels and dimes only. The total value of the coins is $1.45. How many nickels and how many dimes does she have? (Let x represent the number of nickels and y represent the number of dimes.)

- Algebra -
**Amirah**, Wednesday, April 27, 2016 at 12:42pm
d represents Dimes

n represents Nickles

Total number of coins;

d + n = 20, n = (20-d) ...1

Total value of coins;

10d + 5n = 145 ...2

substitute equation 2 with equation 1 for n,

10d + 5(20-d) = 145,

10d + 100 - 5d =145,

10d -5d = 145 -100, d = 45/5 = 9 dimes

20 - 9 = 11 nickles

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