Given:
Total earning = $70
He spends [tex]\dfrac{1}{5}[/tex] of the total amount on movies.
He then spends [tex]\dfrac{1}{2}[/tex] of the remaining money on school clothes.
To find:
The remaining money.
Solution:
We have,
Total earning = $70
He spends [tex]\dfrac{1}{5}[/tex] of the total amount on movies.
Money spent on movie is
[tex]\$70\dfrac{1}{5}=\$14[/tex]
Remining money after movie is
[tex]\$70-\$14=\$56[/tex]
He then spends [tex]\dfrac{1}{2}[/tex] of the remaining money on school clothes.
Money spent on school clothes is
[tex]\$56\times \dfrac{1}{2}=\$28[/tex]
Remining money after movie and school clothes is
[tex]\$56-\$28=\$28[/tex]
Therefore, the remaining money is $28.