SOLUTION: Use an algebraic approach to solve the problem. Suppose that Maria has 130 coins consisting of pennies, nickels, and dimes. The number of nickels she has is 8 less than twice the

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Question 776689: Use an algebraic approach to solve the problem.
Suppose that Maria has 130 coins consisting of pennies, nickels, and dimes. The number of nickels she has is 8 less than twice the number of pennies; the number of dimes she has is 18 less than three times the number of pennies. How many coins of each kind does she have?

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
n = how many nickels
p = how many pennies
d = how many dimes

Literally translate the worded description into numeric symbolism.
p%2Bn%2Bd=130, n=-8%2B2p, d=-18%2B3p

Substitution directly into the total coin count equation is the simplest pathway to solve here.