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)