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lisa has $3.80 worth of coins in her wallet, consisting of nickels, dimes, and quarters.
She has twice as many nickels as dimes, and 3 times as many quarters as dimes. Write an equation that can be used to find how many of each coin Lisa has.
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5n + 10d + 25q = 380,
n = 2d,
q = 3d.
Combine it together:
5*(2d) + 10d + 25*(3d) = 380, or
10d + 10d + 75d = 380, or
95d = 380.
Hence, d = = 4 dimes.
Now, n = 2d = 8 nickels and q = 3d = 12 quarters.