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kati45 [8]
3 years ago
5

a bag contains 57 coins which are only quarters and dimes the total value of coins is $9.45 how many dimes are in the bag​

Mathematics
1 answer:
Digiron [165]3 years ago
6 0

Answer:

There are 32 dimes and 25 quarters.

Step-by-step explanation:

q + d = 57 or q = 57 - d  

25q + 10d = 945  

substitute first equation into second equation:  

25(57 - d) + 10d = 945  

1425 - 25d + 10d = 945  

-15d = -480  

d = -480/-15 = 32  

using first equation:  

q = 57 - 32 = 25  

check using second equation:  

25(25) + 10(32) = 945 checks

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