College

Laci and Leon are saving money to go to an amusement park. Laci has [tex]\$1[/tex] more than 4 times the amount of money Leon has. Together, they have [tex]\$76[/tex].

Which equation can be used 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's solve the problem step by step:

1. Define the Variables:
- Let [tex]\( x \)[/tex] be the amount of money Leon has.
- According to the problem, Laci has [tex]\( \$1 \)[/tex] more than 4 times the amount Leon has. Therefore, Laci has [tex]\( 4x + 1 \)[/tex] dollars.

2. Set Up the Equation:
- We know that together, Laci and Leon have [tex]\( \$76 \)[/tex]. So, we can write the equation based on their total money:
[tex]\[
x + (4x + 1) = 76
\][/tex]

3. Simplify the Equation:
- Combine the terms:
[tex]\[
x + 4x + 1 = 76
\][/tex]
- This simplifies to:
[tex]\[
5x + 1 = 76
\][/tex]

So, the equation that represents this situation correctly is [tex]\( 5x + 1 = 76 \)[/tex].

From the given options, this corresponds to the equation [tex]\( x + 4x + 1 = 76 \)[/tex].

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