Posted by **Ashli** on Wednesday, December 12, 2012 at 10:54pm.

Lily and Sara each had an equal amount of money at first. After Lily spent $18 and Sara spent $25, Lily had twice as much as Sara. How much money did each of them have at first?

- Math -
**drwls**, Wednesday, December 12, 2012 at 10:56pm
Let the amount each had initially be x.

x - 18 = 2*(x - 25) = 2x - 50

x = 32

- Singapore Math -
**Cassy**, Wednesday, December 19, 2012 at 4:26pm
Here is your bar model:

This is a unit bar: [xxx]

Before - the had equal amounts, then they each spent some money. In the end, Lily has twice as much as Sara, or 2 units.

Lily [xxx][xxx]<----$18---->|

Sara [xxx]<-----$25-------->|

If they started out the same, the second unit bar for Lily must be equal to $25 - $18, so $7

[xxx]=$7

Lily had 2 units (2 x $7)+$18 at first.

Sara had 1 unit ($7)+$25 at first.

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