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Answer :
To solve this problem, we need to find out how much Oscar had borrowed from Lucille before his recent transaction of \[tex]$30.
Let's break it down step by step:
1. Oscar currently owes Lucille a total of \$[/tex]126.
2. Recently, he borrowed an additional \[tex]$30 from Lucille.
To determine how much he had borrowed before this recent borrowing, we set up an equation.
Let \( b \) be the amount Oscar had borrowed before the recent \$[/tex]30.
When Oscar borrows an additional [tex]\( \$30 \)[/tex], the total amount he owes becomes:
[tex]\[ \text{amount owed before} + \text{recent borrowing} = \text{total amount owed} \][/tex]
This translates to:
[tex]\[ b + 30 = 126 \][/tex]
We are given multiple-choice options. From the options:
- A. [tex]\( b=126 \)[/tex]
- B. [tex]\( b-30>126 \)[/tex]
- C. [tex]\( b-126=30 \)[/tex]
- D. [tex]\( b+30=126 \)[/tex]
- E. [tex]\( b-30=126 \)[/tex]
- F. [tex]\( b+30>126 \)[/tex]
The option that correctly represents our equation [tex]\( b + 30 = 126 \)[/tex] is option D.
Therefore, the correct translation of the problem is:
D. [tex]\( b + 30 = 126 \)[/tex]
This equation helps us figure out the amount Oscar borrowed before his recent borrowing of \$30.
Let's break it down step by step:
1. Oscar currently owes Lucille a total of \$[/tex]126.
2. Recently, he borrowed an additional \[tex]$30 from Lucille.
To determine how much he had borrowed before this recent borrowing, we set up an equation.
Let \( b \) be the amount Oscar had borrowed before the recent \$[/tex]30.
When Oscar borrows an additional [tex]\( \$30 \)[/tex], the total amount he owes becomes:
[tex]\[ \text{amount owed before} + \text{recent borrowing} = \text{total amount owed} \][/tex]
This translates to:
[tex]\[ b + 30 = 126 \][/tex]
We are given multiple-choice options. From the options:
- A. [tex]\( b=126 \)[/tex]
- B. [tex]\( b-30>126 \)[/tex]
- C. [tex]\( b-126=30 \)[/tex]
- D. [tex]\( b+30=126 \)[/tex]
- E. [tex]\( b-30=126 \)[/tex]
- F. [tex]\( b+30>126 \)[/tex]
The option that correctly represents our equation [tex]\( b + 30 = 126 \)[/tex] is option D.
Therefore, the correct translation of the problem is:
D. [tex]\( b + 30 = 126 \)[/tex]
This equation helps us figure out the amount Oscar borrowed before his recent borrowing of \$30.
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