Math  Algebra
posted by Ashley Kate on .
The number 350 is separated into three parts (numbers). Dividing the first number by the third will give 2 and dividing the second number by the pfirst number will give 5 and a remainder of 25. Find the three numbers.
Andy has 145 coins in his coin bank. THe number of 5denomination coins is 10 more than twice the number of 10denomination coins. The difference between the number of 1denomination coins and 5denomination coins is 5 more than the number of 10denomination coins. How many of each kind of coin does he have?

let 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