Question

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.​

Answer 1

Answer:

The needed equation is:$4.25 =( \frac{p+4}{2} )$

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  = $(\frac{4 +p}{2})$

So, the amount donated to the charity =  $(\frac{4 +p}{2})$

But according to the question, amount donated = $4.25

$\implies 4.25 =( \frac{p+4}{2} )\\\implies 4.25 \times 2 = p+ 4\\\implies p + 4 = 8.5\\\implies p = 8.5 - 4 = 4.5\\\implies p = 4.5$

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