SOLUTION: 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

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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 of the total number of cookies all three of them baked
together. How many cookies did they bake altogether?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!

PERSON           NUMBER
Ariel             6c
Brielle           c
Candice           6c-114
Totals           11c

Choosing 11c for the total number of is just a way to avoid setting-up using fractions.





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Answer by MathTherapy(10553)   (Show Source): You can put this solution on YOUR website!

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 of the total number of cookies all three of them baked
together. How many cookies did they bake altogether?
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  of total number of cookies, we get: 
      11B = 13B - 114 ---- Cross-multiplying
11B - 13B = - 114
     - 2B = - 114
Number of cookies Brielle baked, or 
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.
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