Q:

Mrs Hong had some milk. She used of it to bake some waffles and300 ml to bake a pie. After baking the waffles and the pie, she had ofthe milk left. How much milk did Mrs Hong have at first?afhesT

Accepted Solution

A:
Answer:Mrs. Hong originally had 900 ml of milkExplanation:The complete question is in the attached imageAssume that the amount of milk Mrs. Hong originally had was x mlWe are given that:1- She used [tex]\frac{1}{6}[/tex] of it to bake the waffles, therefore:    Amount used in baking waffles = [tex]\frac{1}{6}x[/tex] ml2- She used 300 ml to bake a pie3- Amount left is half the original amount, therefore:    Amount left = [tex]\frac{1}{2}x[/tex] mlWe know that:Total amount = amount used in waffles + amount used in pie + amount leftSubstitute with the givens and solve for x:Total amount = amount used in waffles + amount used in pie + amount left[tex]x = \frac{1}{6}x + 300 + \frac{1}{2}x\\  \\x-\frac{1}{6}x-\frac{1}{2}x = 300\\   \\\frac{1}{3}x = 300\\  \\x = 300*3 = 900 ml[/tex]This means that:She originally had 900 ml of milkHope this helps :)