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January 30, 2015

January 30, 2015

Posted by **Ashley Kate** on Sunday, January 5, 2014 at 12:14am.

Andy has 145 coins in his coin bank. THe number of 5-denomination coins is 10 more than twice the number of 10-denomination coins. The difference between the number of 1-denomination coins and 5-denomination coins is 5 more than the number of 10-denomination coins. How many of each kind of coin does he have?

- Math - Algebra -
**Reiny**, Sunday, January 5, 2014 at 8:42amlet the three numbers be a , b , and and c

a+b+c=350

a/c = 2 ---> a = 2c or c = a/2

so a + b + a/2 = 350

3a + 2b = 700

b/a = 5 + 25/a

b= 5a + 25

in 3a + 2b=700

3a + 10a + 50 = 700

13a = 650**a = 50**

b = 275

c = 25

check:

50+275+35 = 350 , check!

50/25 = 2 , check

275/50 = 5.5 = 5 + 25/50 = 5 + remainder of 25 , check

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