A Michigan Orchard made 10,223 lb of taffy apples with approximately 1 lb Of tapis mixture for each 69.6 pounds of apples. To the nearest 10th of a pound how many pounds of apples and how many pounds of taffy were used

Pounds of apple used = 10,078.20

Pounds of taffy = 144.80

Step-by-step explanation:

Assume :

x = pound of taffy mixture

y = pounds of apple mixture

Total :

x + y = 10,223 - - - (1)

Proportion of apple to taffy

x / y = 1 / 69.6

Cross multiply :

y = 69.6x

(1) becomes :

x + 69.6x = 10223

70.6x = 10223

x = 10223 / 70.6

x = 144.80169

Put x = 144.80169 in

y = 10223 - x

y = 10223 - 144.80169

y = 10078.19831

Pounds of apple used = 10,078.20

Pounds of taffy = 144.80