Answer:
what do we know?
we know that a quarter is $0.25 and a nickel is $0.05
4x$.25 = $1
20x$0.05 = $1
and we have 84 coin
n = the number of nickels
q = the number of quarters
(1) n + q = 84 and
(2) 5*n + 25*q = 100*11.80 (always work in cents)
(3) 5*n + 25*q = 1180
Now substitute n from equation (1) into equation (3) and get
5*(84 - q) + 25*q = 1180
420 - 5*q + 25*q = 1180
20*q = 1180 - 420
20*q = 760
q = 38
Then using equation (1), plug in q
n + 38 = 84
n = 46
now check these values.
Is (.05*38 + .25*46 = 11.80)?
Is (2.30 + 9.50 = 11.80)?
Is (11.80 = 11.80)? Yes
Step-by-step explanation:
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