A teacher bought a bag of candy with 240 pieces. She gave 30% of the pieces to another teacher. She put half of what was left in the bag into a jar on her desk. She gave the 25 students in her class an equal amount of the remaining candy in the bag. How many pieces of candy does the teacher have left in the bag?
+9466 We can step through it like this...
After she gave 30% of the pieces to another teacher,
number of pieces left in the bag = 240 - 30% of 240 = 240 - 0.3(240) = 240 - 72 = 168
After she put half of what was left in the bag into a jar on her desk,
number of pieces left in the bag = 168 - half of 168 = 168 - 168/2 = 168 - 84 = 84
She gave the 25 students in her class an equal amount of the remaining candy in the bag.
84 / 25 = 3.36
So there is not enough candy to give each student 4 pieces, so she must give each student 3 pieces (assuming she can't give out partial pieces of candy).
After she gives 3 pieces to each student,
number of pieces left in the bag = 84 - 3(25) = 84 - 75 = 9
So there are 9 pieces left in the bag.
