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Caroline has $2.55 in her purse and nickels and dimes. the number of nickels is nine less than three times the number of dimes. find the number of each type of coin.

Respuesta :

ilovecats9573ozkvsq
.05N+.1d=2.55
N=3d-9
0.05(3d-9)+0.1d=2.55
0.15d-0.45+0.1d=2.55
0.25d=2.55+0.45
0.25d=3
D=12
N=3(12)-9
N=36-9
N=27
Hope this helps
darchae2014

Answer:

Carolyn has 12 dimes and 27 nickels.

Step-by-step explanation:

Solving this equation for d gives

0.10d+.05(3d−9)0.25d−0.450.25dd=2.55=2.55=3.0=12

So, there are 12 dimes. Since the number of nickels is 9less than three times the number of dimes, the number of nickels is 3(12)−9=27.

Carolyn has 12 dimes and 27 nickels.