Sara, Nick and June share some sweets in the ratio 7:1:1. Sara gets 78 more sweets than June. How many sweets are there altogether?

Let's x to be number of sweets that June has, the same quantity has Nick, but Sara has 7*x, as ratio is 7:1:1.

It says, that Sara gets 78 more sweets than June, in other words: 7x=78+x or 6x=78-> x=13.

Altogether there are=7x+x+x=9x=9*13=117 sweets.

6 units=78

1unit=78:6=12

9 units=12*9=108