Answer :
To solve the problem, we need to determine which equation correctly represents the situation described.
The problem states: "Laci has [tex]$1 more than 4 times," which we need to interpret as Laci having an amount that is $[/tex]1 more than 4 times some variable, let's call it [tex]\( x \)[/tex]. This situation is mathematically represented as:
[tex]\[ 4x + 1 = 76 \][/tex]
Now, let's solve this equation step by step:
1. Start with the equation:
[tex]\[ 4x + 1 = 76 \][/tex]
2. Subtract 1 from both sides to begin isolating [tex]\( x \)[/tex]:
[tex]\[ 4x = 76 - 1 \][/tex]
3. Simplify:
[tex]\[ 4x = 75 \][/tex]
4. Divide both sides by 4 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{75}{4} \][/tex]
5. Simplify the result:
[tex]\[ x = 18.75 \][/tex]
Therefore, the correct interpretation of the situation is represented by the equation [tex]\( 4x + 1 = 76 \)[/tex], and the solution for [tex]\( x \)[/tex] is 18.75.
The problem states: "Laci has [tex]$1 more than 4 times," which we need to interpret as Laci having an amount that is $[/tex]1 more than 4 times some variable, let's call it [tex]\( x \)[/tex]. This situation is mathematically represented as:
[tex]\[ 4x + 1 = 76 \][/tex]
Now, let's solve this equation step by step:
1. Start with the equation:
[tex]\[ 4x + 1 = 76 \][/tex]
2. Subtract 1 from both sides to begin isolating [tex]\( x \)[/tex]:
[tex]\[ 4x = 76 - 1 \][/tex]
3. Simplify:
[tex]\[ 4x = 75 \][/tex]
4. Divide both sides by 4 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{75}{4} \][/tex]
5. Simplify the result:
[tex]\[ x = 18.75 \][/tex]
Therefore, the correct interpretation of the situation is represented by the equation [tex]\( 4x + 1 = 76 \)[/tex], and the solution for [tex]\( x \)[/tex] is 18.75.
