Q:

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?"

Accepted Solution

A:
Answer:$ 8,000Step-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]= 1.265xAccording 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.