Renata ganhou dinheiro de presente de aniversário gastou metade com roupas e, do que sobrou, gastou a metade com maquiagem e ainda sobrou 120 reais. Quanto Renata ganhou de presente de aniversário.
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Boa noite!
solução!
![Valor~~do~~ dinheiro=x\\\\\\\
Metade~~do~~dinheiro~~com~~roupa= \dfrac{x}{2} \\\\\\\\
Metade~~da~~metade~~com~~maquiagem= \dfrac{x}{4}\\\\\\\
Sobra~~R\$120,00](https://tex.z-dn.net/?f=Valor%7E%7Edo%7E%7E+dinheiro%3Dx%5C%5C%5C%5C%5C%5C%5C%0AMetade%7E%7Edo%7E%7Edinheiro%7E%7Ecom%7E%7Eroupa%3D+%5Cdfrac%7Bx%7D%7B2%7D+%5C%5C%5C%5C%5C%5C%5C%5C%0AMetade%7E%7Eda%7E%7Emetade%7E%7Ecom%7E%7Emaquiagem%3D+%5Cdfrac%7Bx%7D%7B4%7D%5C%5C%5C%5C%5C%5C%5C%0ASobra%7E%7ER%5C%24120%2C00+ "Valor~~do~~ dinheiro=x\\\\\\\
Metade~~do~~dinheiro~~com~~roupa= \dfrac{x}{2} \\\\\\\\
Metade~~da~~metade~~com~~maquiagem= \dfrac{x}{4}\\\\\\\
Sobra~~R\$120,00")
![Montando~~a~~conta~~fica~~assim:\\\\\\\\
\dfrac{x}{2}+ \dfrac{x}{4}+120=x\\\\\\\\
MMC(2,4)=4\\\\\\\
2x+x+480=4x\\\\\
2x+x-4x=-480\\\\\\
3x-4x=-480\\\\\\
-x=-480.(-1)\\\\\\
x=480](https://tex.z-dn.net/?f=Montando%7E%7Ea%7E%7Econta%7E%7Efica%7E%7Eassim%3A%5C%5C%5C%5C%5C%5C%5C%5C%0A%0A+%5Cdfrac%7Bx%7D%7B2%7D%2B+%5Cdfrac%7Bx%7D%7B4%7D%2B120%3Dx%5C%5C%5C%5C%5C%5C%5C%5C%0AMMC%282%2C4%29%3D4%5C%5C%5C%5C%5C%5C%5C%0A2x%2Bx%2B480%3D4x%5C%5C%5C%5C%5C%0A2x%2Bx-4x%3D-480%5C%5C%5C%5C%5C%5C%0A3x-4x%3D-480%5C%5C%5C%5C%5C%5C%0A-x%3D-480.%28-1%29%5C%5C%5C%5C%5C%5C%0Ax%3D480++ "Montando~~a~~conta~~fica~~assim:\\\\\\\\
\dfrac{x}{2}+ \dfrac{x}{4}+120=x\\\\\\\\
MMC(2,4)=4\\\\\\\
2x+x+480=4x\\\\\
2x+x-4x=-480\\\\\\
3x-4x=-480\\\\\\
-x=-480.(-1)\\\\\\
x=480")
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solução!
Boa noite!
Bons estudos!
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