Answer:
The answer is
210 candies
Explanation:
Let n represent the number of children
Let c represent the number of candies
The above variation is written as
![c = (k)/(n)](https://img.qammunity.org/2021/formulas/mathematics/college/2uofmx6mknk65rtdwrfhnfdkrtaxkr3nss.png)
when n = 12 c = 140
So we have
![140 = (k)/(12)](https://img.qammunity.org/2021/formulas/mathematics/college/z5vlhh0p3xuxwiptclnwrberfwk7k3lqyk.png)
Cross multiply
That's
k = 1680
So the formula for the variation is
![c = (1680)/(n)](https://img.qammunity.org/2021/formulas/mathematics/college/8vy6frmjh8bn322cbid749km91kl95omuv.png)
when n = 8
![c = (1680)/(8)](https://img.qammunity.org/2021/formulas/mathematics/college/6pfwarx9908w1elcgwc4wfymr2w2f5y6lz.png)
c = 210
Therefore there are 210 candies consumed when there are 8 children
Hope this helps you