Gina bought one pound of cheese and used 1414 of it.She split apart the remaining cheese into 55 equal parts to eat for lunch each day during the week.Which expression represents the cheese Gina will eat for lunch each day?
Accepted Solution
A:
Gina will eat [tex]\frac{3}{20}[/tex] pound cheese for lunch each dayExplanationAmount of cheese bought = 1 pound and the amount of cheese used = [tex]\frac{1}{4} * 1 pound = \frac{1}{4}[/tex] pound So, the remaining amount of cheese [tex]= (1- \frac{1}{4} )pound = \frac{3}{4} pound[/tex]As this [tex]\frac{3}{4}[/tex] pound cheese is splitting into 5 equal parts, so the amount of each part will be: [tex]\frac{3}{4}[/tex] ÷ 5 = [tex]\frac{3}{4}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{3}{20}[/tex] pound So, Gina will eat [tex]\frac{3}{20}[/tex] pound cheese for lunch each day.