Answered

Rosa brought [tex]\( d \)[/tex] drawings to an art show. After selling 15 of them, she had 38 left. Identify the equation that represents this situation and the correct solution.

A. [tex]\( d + 15 = 38 \)[/tex]; [tex]\( d = 53 \)[/tex]
B. [tex]\( d - 15 = 38 \)[/tex]; [tex]\( d = 23 \)[/tex]
C. [tex]\( d - 15 = 38 \)[/tex]; [tex]\( d = 53 \)[/tex]
D. [tex]\( d + 15 = 38 \)[/tex]; [tex]\( d = 23 \)[/tex]



Answer :

To solve this problem, let's first identify the equation that represents the given situation.

Rosa started with [tex]$d$[/tex] drawings. She sold 15 of them, and after selling, she had 38 drawings left. Therefore, we can represent this situation with the following equation:
[tex]\[ d - 15 = 38 \][/tex]

Now, we need to solve for [tex]\(d\)[/tex].

1. Start with the equation:
[tex]\[ d - 15 = 38 \][/tex]

2. To isolate [tex]\(d\)[/tex], add 15 to both sides of the equation:
[tex]\[ d - 15 + 15 = 38 + 15 \][/tex]
[tex]\[ d = 53 \][/tex]

So the correct solution is:
[tex]\[ d = 53 \][/tex]

Based on this solution:
- The correct equation is [tex]\( d - 15 = 38 \)[/tex]
- The correct value of [tex]\( d \)[/tex] is 53

Therefore, the right answer is:
[tex]\[ \text{C. } d - 15 = 38 ; d = 53 \][/tex]