Question 1176368
x = amount that he saved.


in january, he spent 850 and saved x.


in february, he spent 850 * 1.2 and saved .6 * x


let y equal his income.


you get two equations that need to be solved simultaneously.


they are:


y = x + 850
y = .6x + 850 * 1.2


simplify to get:


y = x + 850
y = .6x + 1020


subtract the second equation from the first to get:


0 = .4x - 170


add 170 to both sides of the equation and switch sides to get:


.4x = 170


solve for x to get:


x = 170 / .4 = 425


your original two equations become:


y = 425 + 850 = 1275
y = .6 * 425 + 1.2 * 850 = 255 + 1020 = 1275


he saved 425 in january and .6 * 425 = 255 in february for a total of 680.


his average savings for each of the two months was 680 / 2 = 340 per month.