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

The needed equation is:
`4.25  =( (p+4)/(2) )`

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

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 =
`((4 +p)/(2))`

So, the amount donated to the charity =
`((4 +p)/(2))`

But according to the question, amount donated = $4.25

`\implies 4.25  =( (p+4)/(2) )\\\implies 4.25 * 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)