Math
posted by Matthew on .
Mr. Clarkson and Mrs. Rose had an average of $180. After Mr. Clarkson spent $73 and Mrs. Rose received $38 from her father, Mr. Clarkson had 1/4 as much money as Mrs. Rose. How much money did each have at first?

Clarkson  x
Rose  y
but (x+y)/2 = 180
x+y = 360
y = 360x
clarkson spent 73:
amount left = x73
Rose got 38
her amount now = 360x + 38 =398x
clarkson has 1/4 as much as Rose
x73 = (1/4)(398x)
4x292 = 398  x
5x = 690
x = 138
Clarkson had $138
Rose had $222