Many students accumulate debt by the time they graduate from
Many students accumulate debt by the time they graduate from college. Shown in the following table is the percentage of graduates with debt and the average amount of debt for these graduates at four universities and four liberal arts colleges.
Question: For graduates of University 1 with debt, the average amount of debt is $ 32,970. Considering all graduates from University 1, what is the average debt per graduate? Round to nearest dollar.
11,014
| University | % with Debt | Amount($) | College | % with Debt | Amount($) |
| 1 | 74 | 32,970 | 1 | 85 | 28,755 |
| 2 | 66 | 32,190 | 2 | 95 | 23,000 |
| 3 | 52 | 11,222 | 3 | 54 | 10,204 |
| 4 | 63 | 11,851 | 4 | 47 | 11,014 |
Solution
PErcent with debt amount in Univ 1 ---> 74%
Average debt amount = 32970
For 74% --> debt amount = 32970
So, for 100% --> debt amount = x
Dividing :
74/100 = x/32970
Crossmultiplying :
100x = 32970*74
x = 32970*74 / 100
x = 24397.8
So, considering all graduates, we have an average debt of approx $24,398 --> ANSWER
