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Laci and Leon are saving money to go to an amusement park. Laci has [tex]1[/tex] dollar more than four times the amount of money Leon has. Together, they have [tex]76[/tex] dollars.

Write an equation to determine how much money they have together.

A. [tex]4x + 1 = 76[/tex]

B. [tex]x + 4x - 1 = 76[/tex]

C. [tex]4x - 1 = 76[/tex]

D. [tex]x + 4x + 1 = 76[/tex]

Answer :

Let [tex]$x$[/tex] represent the amount of money Leon has in dollars. Since Laci has \[tex]$1 more than 4 times what Leon has, she has an amount given by

$[/tex][tex]$4x + 1.$[/tex][tex]$

Together, the total amount of money they have is the sum of Leon's and Laci's money, so we write

$[/tex][tex]$x + (4x + 1) = 76.$[/tex][tex]$

This equation simplifies as follows:

1. Combine like terms:
$[/tex][tex]$x + 4x = 5x,$[/tex][tex]$
so the equation becomes
$[/tex][tex]$5x + 1 = 76.$[/tex][tex]$

2. In the given multiple choice options, the equation that matches our result is
$[/tex][tex]$x + 4x + 1 = 76.$[/tex][tex]$

Thus, the correct choice is the equation

$[/tex][tex]$\boxed{x + 4x + 1 = 76}.$[/tex]$

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