College increased the number of scholarships by 10% per year for each of the past two years. If 1815 scholarships will be offered this year, find the number offered two years ago.

The number of scholarships offered two years ago would be 1500 scholarships

Step-by-step explanation:

Let us assume the number of scholarships two years ago to be X.

A 10% increase in a value means that the original value was multiplied by 110%. An example is this, 10% of 50 = 5. So, a 10% increase in 50 gives the new number (50+5), which is 55. We could also obtain it by directly multiplying 50 by 110% (that is 100% + the 10% increase).

50 × 110% = 50 × = 55

So, back to the example that we are considering.

2 years ago: X scholarships

Last year at 10% increase per year will give: 110% × X = 1.1X

This year at another 10% increase, we have: 110% × 1.1X = 1.21X

Since we have been given the number of scholarships this year, we can equate it to 1.21X.

1.21X = 1815

X =

X = 1500

So, the number of scholarships offered two years ago was 1500

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step-by-step explanation: