Question 700844
allison is saving money to buy a video game system. in the first week, her savings were $8 less then 2/5 of the price of the system. in the second week, she saved 50 cents more than 1/2 the price of the system. she was still $37 short. whats the price of the system?

Let system cost $x

First week -- (2/5)x -8

II week-------(1/2)x +0.5

She was$37 short

Add up 

savings + short = price of system

(2/5)x-8 + (1/2)x+0.5 +37 =x

(2/5)x +(1/2)x -x= -37-0.5+8

(4x+5x-10x)/10 = -29.5

-x = 10*-29.5

-x=-295

x= $ 295 the price of the system