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{GIVING OUT 100 POINTS AND BRAINLIEST} Amanda has 227 worth of bills in her purse. she has 6 more $5 dollar bills than $10 bills. The number of $1 bills is three fewer than 25 times the number of $10 dollar bills. How many of each does Amanda have?

Respuesta :

Answer:

122 one dollar bills

11 five dollar bills

5 ten dollar bills

Step-by-step explanation:

t = ten dollar bills

f = five dollar bills

w = one dollar bills

227 = 10t +5f +1w

t+6 = f

w = 25t-3

We can get the first equation in terms of t

227 = 10t+5(t+6) +1(25t-3)

Distribute

227 = 10t +5t +30 +25t -3

Combine like terms

227 = 40t +27

Subtract 27 from each side

200 = 40t

Divide by 40

5 = t

Now find f

f =t+6

f = 5+6 = 11

And find w

w = 25t-3 = 25(5) -3 = 125-3 = 122