A vending machine sells chips at $0.40 and candy at $0.50. Last month, the vending machine yielded $152.80 with a sale of 328 items. how many packages of chips were purchased last month

112 bags of chips

The solution to the system of equations gives 112 chips and 216 candy.

The equations to solve are

x + y = 328

.40x +.50 y = 152.80

(x = the number of chips and y = the number of candy)

X = 40 cents bags, y = 50 cent bags

x + y = 328 ... x = 328 - y

0.40x + 0.50y = 152.80

0.40 (328 - y) + 0.50y = 152.80

131.20 - 0.40y + 0.50y = 152.80

-0.40y + 0.50y = 152.80 - 131.20

0.10y = 21.60

y = 21.60/0.10

y = 216 < = = = total 50 cents bags sold

x + y = 328

x + 216 = 328

x = 328 - 216

x = 112 < = = = total 40 cents bags sold