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Please help with a math question, amd explain work too please if it’s not too much:)

"Donations to an annual fundraiser are 15% greater this year then last year. Last year, donations were 10% greater than a year before. The amount raised this year is $10,120. How much was raised 2 years ago?"

Respuesta :

Answer:

$ 8,000

Step-by-step explanation:

Let x be the donation before 2 years ago,

∵ Last year, donations were 10% greater than a year before,

⇒ Donation in last year = x + 10% of x

[tex]=x + \frac{10x}{100}[/tex]

= x + 0.1x

= 1.1x

Now, the donation is 15% greater in this year than last year,

So, the donation in this year = 1.1x + 15% of 1.1x

[tex]=1.1x +\frac{15\times 1.1x}{100}[/tex]

[tex]=1.1x + 0.165x[/tex]

= 1.265x

According to the question,

1.265x = 10,120

[tex]\implies x =\frac{10120}{1.265}=8000[/tex]

Hence, 2 years ago it was raised $ 8,000.

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