Q:

A cow gave 8 1 2 liters of milk in the morning, 3 5 liters less than this at the noon milking, and 6 3 10 liters in the evening. How many liters of milk did the cow give during the entire day?

Accepted Solution

A:
Answer:[tex]22\frac{7}{10}\ l[/tex] Β or [tex]22.7\ l[/tex]Step-by-step explanation:The correct question isA cow gave 8 1\2 liters of milk in the morning, 3\5 liters less than this at the noon milking, and 6 3/10 liters in the evening. How many liters of milk did the cow give during the entire day?we know thatThe total liters of milk given by the cow during the entire day is equal to the amount in the morning plus the amount at the noon plus the amount in the evening.Letx -----> liters of milk given by the cow in the morningy ----> liters of milk given by the cow at the noonz -----> liters of milk given by the cow in the eveningT ----> total liters of milk given by the cow during the entire dayT=x+y+zwe have[tex]x=8\frac{1}{2}\ l=\frac{8*2+1}{2}=\frac{17}{2}=\frac{85}{10}\ l[/tex][tex]y=\frac{17}{2}-\frac{3}{5}=\frac{85-6}{10}=\frac{79}{10}\ l[/tex][tex]z=6\frac{3}{10}\ l=\frac{6*10+3}{10}=\frac{63}{10}\ l[/tex][tex]T=\frac{85}{10}+\frac{79}{10}+\frac{63}{10}[/tex][tex]T=\frac{227}{10}\ l[/tex][tex]T=22.7\ l[/tex]Convert to mixed number[tex]22.7\ l=22+0.7=22+\frac{7}{10}=22\frac{7}{10}\ l[/tex]