Question 1185288

Ariel, Brielle and Candice baked some cookies for charity. Ariel baked 6 times
as many cookies as Brielle. Candice baked 114 fewer cookies than Ariel.
Brielle baked {{{1/11}}} of the total number of cookies all three of them baked 
together. How many cookies did they bake altogether?
<pre>Let amount of cookies Brielle baked, be B
Then Ariel baked 6B cookies, and Candice, 6B - 114
Total number of cookies baked: B + 6B + 6B - 114 = 13B - 114

As Brielle baked {{{1/11}}} of total number of cookies, we get: {{{matrix(1,3, B, "=", (1/11)(13B - 114))}}}
      11B = 13B - 114 ---- Cross-multiplying
11B - 13B = - 114
     - 2B = - 114
Number of cookies Brielle baked, or {{{highlight_green(matrix(1,5, B, "=", (- 114)/(- 2), "=", 57))}}}
You should now be able to figure out the number of cookies the others baked. 

Add them ALL to get the total number of cookies baked.</pre>