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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?

 Dec 19, 2021
 #1
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There were 625 sweets at the start.

 Dec 19, 2021
 #3
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Would you please explain how you got 625 as the answer?

Guinevere  Dec 19, 2021
 #2
avatar+75 
+2

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.

 Dec 19, 2021

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