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December 19, 2014

December 19, 2014

Posted by **Jona** on Tuesday, February 19, 2013 at 6:38pm.

The total number of paper bills is $235. The number of twenty dollar bills is twice the number of $1 dollar bills and the number of $5 dollar bills is ten more than the number of $1 dollar bills. What is the system of equations to repersent the situation. Then use matrices to find the number of bills for each denomination.

- Pre Calculus -
**Henry**, Wednesday, February 20, 2013 at 9:29pmX $1 Bills.

2x $20 Bills.

(X+10) $5 Bills.

Y $10 Bills.

x + 2x + (x+10) + y = 235

4x + 10 + y = 235

Eq1: 4x + y = 225.

1*x + 20*2x + 5(x+10) + 10y = $2600.

46x+50+10y = 2600.

Eq2: 46x+10y = 2550

-40x - 10y = -2250

46x + 10y = 2550

6x = 300.

X = 50.

2X = 100

X+10 = 60

4*50 + y = 225

Y = 25.

The student should solve Eq1 and Eq2 using matrix and get the same results.

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