Answer=10
When rounding to the nearest whole number, we need to look to the number in the tenths place
10.09
If the number is 5 or greater, we round up. If the number is 4 or less, we round down.
The number is 0, so we would round down.
10.09 becomes 10
Let the least possible value of the smallest of 99 cosecutive integers be x and let the number whose cube is the sum be p, then
![\frac{99}{2} (2x+98)=p^3 \\ \\ 99x+4,851=p^3\\ \\ \Rightarrow x=\frac{p^3-4,851}{99}](https://tex.z-dn.net/?f=%20%5Cfrac%7B99%7D%7B2%7D%20%282x%2B98%29%3Dp%5E3%20%5C%5C%20%20%5C%5C%2099x%2B4%2C851%3Dp%5E3%5C%5C%20%5C%5C%20%5CRightarrow%20x%3D%5Cfrac%7Bp%5E3-4%2C851%7D%7B99%7D)
By substitution, we have that
![p=33](https://tex.z-dn.net/?f=p%3D33)
and
![x=314](https://tex.z-dn.net/?f=x%3D314)
.
Therefore, <span>the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube is 314.</span>
Let x tickets sold be adults, then (1024-x) were of childrens tickets, 9x+(1024-x)4 = 7680. The above equation is for total money solve it you will get x=720 hence, number of adult tickets were 720 and number of child tickets were 300 :)