The math department wants to sell pie slices to buy new math books. each pie was cut into six slices. two of the pies will be served to members of the department as courtesy. if there are a total of 48 pieces, how many whole pies will the department have available for sale? a. 7 pies b. 8 pies c. 4 pies d. 6 pies

b. 8 because Total Pieces Sold=60

Pieces contributed by the cafeteria=20

Pieces contributed by the clubs=x

We can solve this problem by creating an equation to relate these terms:

Total Pieces Sold= (pieces contributed by the cafeteria) + (pieces contributed by the clubs)

Our equation is therefore: 60=20+x. We solve for x:

60-20=x

40=x

This means the clubs contributed 40 pieces. To find out how many pies that equals, we can use the relationship:

(40 pieces)/(y pies) = (5 pieces)/(1 pie). Solve for y:

(1)(40)=(5)(x)

(40/5)=8