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
There were 625 sweets at the start.
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.