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

Question

andreyandreev [35.5K]

2 years ago

5

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?

Mathematics

1 answer:

ivanzaharov [21] · Answer 1 · 2022-07-07T11:01:22+03:00

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>