Question

Abbie spent 5/8 of her money and saved the rest. If she spent $45. how much money did she have at first?

Answer 1

She had 80 dollars at first.80/80 equals to 8/8 and that equals to 64 dollars. 5/8 equals to 45

Answer 2

$72

Further explanation

Given:

• Abbie spent $\frac{5}{8}$ 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.

$\boxed{ \ 5 \ units = \ 45 \ }$

$\boxed{ \ 1 \ unit = \ \ ? \ }$

$\boxed{ \ \ 45 \div 5 \ units = \ 9 \ }$

Therefore, $\boxed{ \ 1 \ unit = \ 9 \ }$

Abbie had 8 units at first.

Let's count how much money did she have at first.

$\boxed{ \ 1 \ unit = \ 9 \ }$

$\boxed{ \ 8 \ unit = \ \ ? \ }$

$\boxed{ \ = 8 \times 9 \ }$

$\boxed{\boxed{ \ \ 72 \ }}$

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

$\boxed{ \ \ 45 \div \frac{5}{8} = \ ? \ }$

$\boxed{ \ = \ 45 \times \frac{8}{5} \ }$

We crossed out 45 and 5.

$\boxed{ \ = \ 9 \times \frac{8}{1} \ }$

$\boxed{\boxed{ \ \ 72 \ }}$

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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