Stephen is paid $25 to mow a lawn. This amount is $4 less than twice the amount he received when he first began mowing. Use the model to determine x, the amount Stephen received when he first began mowing.

Respuesta :

Answer:

$14.5

Step-by-step explanation:

Given

[tex]Amount = 25[/tex]

Required

Determine the amount paid to him initially (x)

Analyzing the question, one after the other:

4 less than twice the amount: 2x - 4

Hence;

[tex]Amount = 2x - 4[/tex]

Substitute 25 for Amount

[tex]25 = 2x - 4[/tex]

Add 4 to both sides

[tex]4 + 25 = 2x - 4 + 4[/tex]

[tex]29 = 2x[/tex]

Divide both sides by 2

[tex]29/2 = 2x/2[/tex]

[tex]29/2 = x[/tex]

[tex]14.5 = x[/tex]

[tex]x = 14.5[/tex]

Hence, he received $14.5 when he first started

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