# Singapore Math

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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 -

Let the amount each had initially be x.

x - 18 = 2*(x - 25) = 2x - 50
x = 32

• Singapore Math -

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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