A bank teller knows that she received 34 dimes and nickels from a customer. If the change totaled $2.05, how many dimes and nick
els did she receive?
1 answer:
D = # of dimes
n= # of nickles
d + n = 34 so d = 34 - n
.10d + .05n = 2.05
substitute d = 34 - n into .10d + .05n = 2.05
.10d + .05n = 2.05
.10( 34 - n) + .05n = 2.05
3.4 - .1n + .05n = 2.05
-.05n = -1.35
n = 27
d = 34 - n
d = 34 - 27
d = 7
answer
<span>she received 7 dimes and 27 nickels</span>
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