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Juliana had [tex]$96, which is eight times as much money as Al had. How much money did Al have?

Select the correct solution method below, representing Al's money with \( x \).

A. \( x + 8 = 96 \). Subtract 8 from both sides. Al had $[/tex]88.
B. [tex]\( \frac{x}{8} = 96 \)[/tex]. Multiply both sides by 8. Al had [tex]$768.
C. \( x - 8 = 96 \). Add 8 to both sides. Al had $[/tex]104.
D. [tex]\( 8x = 96 \)[/tex]. Divide both sides by 8. Al had $12.

Sagot :

GinnyAnswer
To find out how much money Al had, we can represent Al's money with [tex]\( x \)[/tex] and use the given information that Juliana's money is 8 times as much as Al's. We can set up the equation:

[tex]\[ 8x = 96 \][/tex]

This equation means that 8 times the amount of money Al had equals the amount of money Juliana had.

To solve for [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex] on one side of the equation. We do this by dividing both sides of the equation by 8:

[tex]\[ x = \frac{96}{8} \][/tex]

Simplifying the right side, we get:

[tex]\[ x = 12 \][/tex]

Therefore, Al had [tex]\(\$ 12\)[/tex].

The correct choice is:
D. [tex]\(8x = 96\)[/tex]. Divide both sides by 8. Al had [tex]\(\$ 12\)[/tex].
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