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Natalie went to the movies for $16.50 then spent half of her remaining money on jogging shoes. Next she bought lunch for $9.00 then spent half her remaining money on a skirt. After that she still had $21 left. How much money did she start with?

 Aug 4, 2015

Best Answer 

 #1
avatar+26364 
+10

Natalie went to the movies for $16.50 then spent half of her remaining money on jogging shoes. Next she bought lunch for $9.00 then spent half her remaining money on a skirt. After that she still had $21 left. How much money did she start with?

 

$$\small{\text{$
\dfrac{
\dfrac{x-\$16.50}{2} - \$9.00
}
{2}=\$21
$}} \\\\\\
\small{\text{$
\dfrac{x-\$16.50}{2} - \$9.00 = \$42
$}}\\\\
\small{\text{$
\dfrac{x-\$16.50}{2} = \$51
$}}\\\\
\small{\text{$
x-\$16.50 = \$102
$}}\\\\
\small{\text{$
x = \$118.50
$}}$$

 

She did start with $118.50

 Aug 4, 2015
 #1
avatar+26364 
+10
Best Answer

Natalie went to the movies for $16.50 then spent half of her remaining money on jogging shoes. Next she bought lunch for $9.00 then spent half her remaining money on a skirt. After that she still had $21 left. How much money did she start with?

 

$$\small{\text{$
\dfrac{
\dfrac{x-\$16.50}{2} - \$9.00
}
{2}=\$21
$}} \\\\\\
\small{\text{$
\dfrac{x-\$16.50}{2} - \$9.00 = \$42
$}}\\\\
\small{\text{$
\dfrac{x-\$16.50}{2} = \$51
$}}\\\\
\small{\text{$
x-\$16.50 = \$102
$}}\\\\
\small{\text{$
x = \$118.50
$}}$$

 

She did start with $118.50

heureka Aug 4, 2015

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