College

Levi paid two bills. The cost of the two bills was [tex]\$157[/tex]. The second bill was [tex]\$5[/tex] more than twice the amount of the first bill. Which of the following equations could be used to find the amount of the first bill?

A. [tex]5 - 2x = 157[/tex]

B. [tex]2x - 5 = 157[/tex]

C. [tex]x - (2x + 5) = 157[/tex]

D. [tex]x + (2x + 5) = 157[/tex]

Answer :

Let the amount of the first bill be [tex]$x$[/tex]. According to the problem, the second bill is \[tex]$5 more than twice the first bill, which is expressed as:
$[/tex][tex]$
2x + 5
$[/tex][tex]$

Since the total of both bills is \$[/tex]157, we can set up the equation by adding the two amounts:
[tex]$$
x + (2x + 5) = 157
$$[/tex]

Combine like terms:
[tex]$$
3x + 5 = 157
$$[/tex]

Subtract 5 from both sides:
[tex]$$
3x = 157 - 5 = 152
$$[/tex]

Then, solving for [tex]$x$[/tex], we would divide both sides by 3:
[tex]$$
x = \frac{152}{3} \approx 50.67
$$[/tex]

Thus, the equation that represents the problem is:
[tex]$$
x + (2x + 5) = 157
$$[/tex]

This corresponds to option D.

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