SOLUTION: On her birthday Anna was given a bag of sweets to take to school. She had 4 lessons in the morning – in the first lesson she gave out half of the sweets in her bag and then gave

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: On her birthday Anna was given a bag of sweets to take to school. She had 4 lessons in the morning – in the first lesson she gave out half of the sweets in her bag and then gave       Log On


   



Question 976413: On her birthday Anna was given a bag of sweets to take to school.
She had 4 lessons in the morning – in the first lesson she gave out half of the sweets
in her bag and then gave one to the teacher. In the second lesson she gave out half of
the sweets left in her bag and then gave one to the teacher. She repeated this in
lessons 3 and 4. By the end of lesson 4 she had 1 sweet left. How many sweets were
in the bag at the start of the day? Show all of your working

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Work backwards.

She had one sweet left at the end. Just before that she gave one to to the lesson 4 teacher, so before that she had 2 sweets. Those two sweets were half of what she had before she started lesson 4, so when she was done with lesson 3 she must have had 4 sweets. She had given 1 to the lesson 3 teacher, so before she did that, she had 5. 5 was half of what she had before she started lesson 3...and so on you can work out the rest from here.

John

My calculator said it, I believe it, that settles it