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u 1. Mrs. Brown has 11 more boys than girls in her class and has a total of 28 students. Which of the following systems of equations could be used to solve this problem? B+11=G and B+G=28 B=G+11 and B+G=28 B=G-11 and B+G=28 G=B+11 and B+G=28

Pergunta

u 1. Mrs. Brown has 11 more boys than girls in her class and has a total of 28 students. Which of the following systems of equations could be used to solve this problem?
B+11=G and B+G=28
B=G+11 and B+G=28
B=G-11 and B+G=28
G=B+11 and B+G=28

u 1. Mrs. Brown has 11 more boys than girls in her class and has a total of 28 students. Which of the following systems of equations could be used to solve this problem? B+11=G and B+G=28 B=G+11 and B+G=28 B=G-11 and B+G=28 G=B+11 and B+G=28

Solução

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AndersonMestre · Tutor por 5 anos

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The correct system of equations is \(B = G + 11\) and \(B + G = 28\).

Explicação

## Step 1<br />The problem provides two pieces of information: <br />1. Mrs. Brown has 11 more boys than girls in her class. <br />2. The total number of students in the class is 28. <br /><br />## Step 2<br />We can translate these pieces of information into mathematical equations. <br /><br />The first piece of information, "Mrs. Brown has 11 more boys than girls in her class", can be written as \(B = G + 11\), where \(B\) represents the number of boys and \(G\) represents the number of girls. <br /><br />## Step 3<br />The second piece of information, "The total number of students in the class is 28", can be written as \(B + G = 28\). <br /><br />## Step 4<br />Therefore, the system of equations that represents this problem is \(B = G + 11\) and \(B + G = 28\).
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