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Gamal spent [tex]\$12.50[/tex] at the bookstore. The difference between the amount he spent at the video game store and the amount he spent at the bookstore was [tex]\$17[/tex]. The equation [tex]d - 12.50 = 17[/tex] can be used to represent this situation, where [tex]d[/tex] is the amount Gamal spent at the video game store. Which equation is an equivalent equation that can be used to find the amount Gamal spent at the video game store?

A. [tex]d = 17 - 12.50[/tex]
B. [tex]d = 17 + 12.50[/tex]
C. [tex]d - 12.50 = -17[/tex]
D. [tex]d + 12.50 = 17[/tex]



Answer :

GinnyAnswer
Let's carefully analyze and solve the given problem step-by-step.

The equation provided is:
[tex]\[ d - 12.50 = 17 \][/tex]

Our goal is to find the amount Gamal spent at the video game store, which is represented by [tex]\( d \)[/tex]. To do this, we need to isolate [tex]\( d \)[/tex] on one side of the equation. Here's how we do it:

1. Starting with the equation:
[tex]\[ d - 12.50 = 17 \][/tex]

2. Isolate [tex]\( d \)[/tex] by adding [tex]\( 12.50 \)[/tex] to both sides of the equation:
[tex]\[ d - 12.50 + 12.50 = 17 + 12.50 \][/tex]

3. Simplifying the equation:
[tex]\[ d = 17 + 12.50 \][/tex]

So, the equivalent equation that can be used to find the amount Gamal spent at the video game store is:
[tex]\[ d = 17 + 12.50 \][/tex]

Therefore, the correct equivalent equation is:
[tex]\[ d = 17 + 12.50 \][/tex]

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