$72
Further explanation
Given:
- Abbie spent @@MATH_TOKEN_0@@ of her money and saved the rest.
- She spent $45.
Question:
How much money did she have at first?
The Process:
Let us design a diagram that matches the above situation.
\(\boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot}\)
1 unit represents 1 part of all the money she had at first.
Abbie spent \(\frac{5}{8}\) of her money and saved the rest, that is \(\boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot}\) or 5 of 8 units.
From the diagram she spent above, 5 units exactly match the $ 45 she spent.
@@MATH_TOKEN_4@@
@@MATH_TOKEN_5@@
@@MATH_TOKEN_6@@
Therefore, @@MATH_TOKEN_7@@
Abbie had 8 units at first.
Let's count how much money did she have at first.
@@MATH_TOKEN_8@@
@@MATH_TOKEN_9@@
@@MATH_TOKEN_10@@
@@MATH_TOKEN_11@@
Thus, she had $ 72 at first.
- - - - - - - - - -
Quick Steps
\(\frac{5}{8}\) of her money at first is $45.
The money she had at first is
@@MATH_TOKEN_13@@
@@MATH_TOKEN_14@@
We crossed out 45 and 5.
@@MATH_TOKEN_15@@
@@MATH_TOKEN_16@@
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Keywords: Abbie spent, 5/8 of her money, and, saved the rest, if, she spent, $45, how much, she have at first, diagram, unit, part
