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Theo made a donation to a charity. His grandfather agreed to add$4.00 to Theo's donation amount and then donate half of the sum. Theo's grandfather donate b$4.25
Write and solve an equation to the amount of Theo's donation.​

Respuesta :

Answer:

The needed equation is:[tex]4.25  =( \frac{p+4}{2} )[/tex]

The amount of Theo's donation  =  $ (4.5)

Step-by-step explanation:

Let us assume the amount of Theo's donation  = $ p

Now, his grandfather added $4 to the donation.

So, the New amount  = Theo's amount  +  Grandfather's share

                                   = $p +  $ 4 = $ (4 +p)

Again, the half of the total amount  = [tex](\frac{4 +p}{2})[/tex]

So, the amount donated to the charity =  [tex](\frac{4 +p}{2})[/tex]

But according to the question, amount donated = $4.25

[tex]\implies 4.25  =( \frac{p+4}{2} )\\\implies 4.25 \times 2  = p+ 4\\\implies  p +  4  = 8.5\\\implies  p =  8.5 - 4  = 4.5\\\implies p = 4.5[/tex]

Hence, the amount of Theo's donation  = $ p   = $ (4.5)

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