Alana earnerd money doing chores. Her grandmother agreed to add $4.00 to the amount Alana earned and then give her half of that sum. Alana's grandmother gave her gave her $4.25. Write and solve an equation to find the amount of Alana's donation

Respuesta :

Answer:

Hence amount of Alana's donation is $4.5.

Step-by-step explanation:

Amount of Alana's donation = x

Her grandmother agreed to add $4.00 to the amount Alana earned.

So new amount of money = (x+4)

She gives only half of the sum which is (x+4)/2.

She gave her $4.25 so both values must be equal.

[tex]\frac{\left(x+4\right)}{2}=4.25[/tex]

[tex]x+4=4.25*2[/tex]

[tex]x+4=8.5[/tex]

[tex]x=8.5-4[/tex]

[tex]x=4.5[/tex]

Hence amount of Alana's donation is $4.5.

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