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Keith_Richards [23]
4 years ago
9

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.​
Mathematics
1 answer:
lisov135 [29]4 years ago
6 0

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)

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