Annie has a bag of sweets.
She eats the same amount of sweets from the bag each day.
At the end of the 6th day she has 5/8
of the bag of sweets remaining.
At the end of the 9th day she has
63 sweets remaining.
How many sweets were in the bag at
the start?
+76 If on the sixth day Annie has 5/8 of the bag left, that means she ate 3/8 in 6 days. (3/8)/6=1/16, so Annie eats 1/16 of the bag per day.
By the 9th day, she will have eaten 9/16 of the bag, meaning 7/16 of the bag is left.
Let x=the number of sweets in the bag.
(7/16)x=63. To get rid of the coefficient of x, multiply both sides by (16/7), resulting in
x=63*(16/7), which also is x=144
Therefore, the number of sweets in the bag at the start is 144.
