Question

5-) Um rádio custa 85 reais, ele obteve um desconto de 12%. Quanto custou o rádio?

Answer 1

Resposta correta:

$\quad {\because \quad \boxed{\boxed{\begin{array}{lr}\red{ {\space} R{\ }\: 74{,}8 {\space} }\end{array}}}}$

$\bf\large\gray{\underline{\qquad \qquad\qquad \qquad \qquad \qquad \qquad \quad }}$

$\quad\quad\huge\mid{\boxed{\bf{\blue{ Matem\acute{a}tica }}}\mid}$

Solução passo a passo

  $~$

Dados:

$\begin{cases}\sf \orange{R\acute{a}dio} &=& { 85{,}00 {;} } \\ </p><p>\sf \orange{Desconto} &=& { 12 \% {.} } \end{cases}$

$\large\underline{ \overline{\boxed{\begin{array}{clr}\\ \displaystyle{ {~} 85 \times 12 {~} }\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \end{array}}}} \\ \\ \tiny \vdash \text {forma \ simplificada} \dashv$

Vamos multiplicar os valores $\gray{ 85 \times 12}$

$\large {\quad} {\space} \gray { \downarrow} {\quad} {\space} \begin{aligned} \displaystyle { \: \: } {\quad}{\quad} \blue{_{1}}\\ {\quad} {\:} {\:}{\:} {\quad} {85} \\ {\quad} \underline{ {\times} {\quad}{\:} {2}} \\ {\quad} {\quad} {170} \\ {\:} \underline{ {+} {\quad} {850}}\\ {\quad} {\:} {\:} {1020}\end{aligned}$

Agora devemos dividir o resultado $\gray { (1020) }$ por $100$

$\large\gray{\space\space\space\space\downarrow}\space\space\space\space\displaystyle\begin{aligned} 10{,}2  \end{aligned}\left\{\begin{array}{ll}\displaystyle{ 1020 \div 100 }\\ \\~~\displaystyle{= 10{,}2 ~~} \\ \end{array}\right.$

Esse valor ${ \gray{(10{,}2)} }$ é a quantidade que vai descontar dos$85$reais.

Sendo assim temos: $~ {\boxed{ \orange { 85{,}00} - \orange { 10{,}2 }}}$

Dados os valores vamos subtrair $\gray { 85{,}00 - 10{,}2 }$

$\large {\quad} {\space} \gray { \downarrow} {\quad} {\space} \begin{aligned} \blue{_{4}} \quad\\ {\quad} {\:} {\:}{\:} {\quad} {{8\!\!\!}\blue{\not}{5}{,}{\!} {\small^{\blue{1}}} 0} \\ {\quad} \underline{ { - } {\quad}{\:} {10{,}2}} \\ {\quad} {\quad} {{74{,}8}} \end{aligned}$

$\begin{array}{l} \sf { Portanto \: ao \: comprar \: o \: r\acute{a}dio \: de \: {\underline{\orange{R{\ } ~ 85{,}00 }}} {,}\: o} \\ \sf {consumidor \: obteve \: um \: desconto \: de \: {\underline{\orange{R{\ } ~ 10{,}2}{,}}} }\\ \sf { pagar\acute{a} \: apenas \: {\underline{\orange{R{\ } ~ 74{,}8}}} \: por \: ele{.} } \end{array}$

Solução:

$\quad {\therefore \quad\boxed{\boxed{\begin{array}{lr}\red{ {\space} R{\ }\: 74{,}8 {\space} }\end{array}}}}$

$\quad \text{\underline{Att.}}$

${\huge\boxed { {\bf{M}}}\boxed { \red {\bf{y}}} \boxed { \blue {\bf{t}}} \boxed { \gray{\bf{h}}} \boxed { \red {\bf{}}} \boxed { \orange {\bf{P}}} \boxed {\bf{i}}}$

$\quad {\vdots\quad\large\boxed {\boxed{01:59h}~15.10.21}}$

$\bf\large\gray{\underline{\qquad \qquad\qquad \qquad \qquad \qquad \qquad \quad }}$

Veja mais em:

$\orange{\square}$https://brainly.com.br/tarefa/18791553

$\orange{\square}$https://brainly.com.br/tarefa/2786977