Question

2. Sarita donated some amount to a blind school. The amount of donation is represented as 8(2x + 5) - 16(2x + 5). Her friend wanted to know the amount donated by her. She did not disclose the amount but just gave a hint that the value of the expression (-2x - 5) is 75. ​

Answer 1

The amount of Sarita's donation is 128(4x+5).

Sarita's donation amount can be represented as (8(2x + 5) - 16(2x + 5)). We know that the value of the expression (-2x - 5) is 75. We can substitute this value into the expression to find the amount of the donation.

First, substitute the value of the expression (-2x - 5) into the donation expression:

Donation=8(−2x−5)−16(2x+5)

Now, distribute the 8 to both terms inside the parentheses:

Donation=16(2x+5)−16(2x+5)

Next, simplify the expression by canceling out the common factor of 16:

Donation=32(2x+5)

Now, substitute the given value of the expression (-2x - 5) = 75 into the simplified expression:

Donation=32(2(−2x−5)+5)

Distribute the 32 to both terms inside the parentheses:

Donation=32(−4x−10)+32(5)

Simplify the expression further:

Donation=128(4x+5)

So, the amount of Sarita's donation is 128(4x+5).