ens more bags. if she had 11 bags left at 4pm, how many bags did she have when the stand opened?

Question

By 11 am, kathy had sold 1/6 of the 5lbs bags of pears. Between 11 am and 4 pm she sold 2 dozens more bags. if she had 11 bags left at 4pm, how many bags did she have when the stand opened?

Answer 1

There are X bags at the beginning

X = (1/6)X + 24 + 11 <--- 1/6 of them sold by 11 am, 2 dozen = 24 sold by 4; then 11 remain

X = (1/6)X + 35 <--- combines like terms

6X = X + 210 <--- multiplies everything by 6

5x = 210 <--- subtracts X from both sides

x = 42

There are 42 bags at opening

THEN....

1/6 of 42 = 7 of them sold by 11 am,

which means 35 remains.

THEN....

35-24 = 11 remain after 2 dozen=24 are sold by 4 pm.

42 bags