Ellen, Giselle, and Brenda bake 111 cookies. Giselle bakes twice as many cookies as Brenda. Ellen bakes 9 fewer cookies than Giselle. How many cookies does Ellen bake?

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Answer 1 · 2016-09-26T17:05:32

$39$ $39$ cookies

Brenda baked
$24$ $24$ cookies

since Giselle baked twice as many as Brenda, she baked $48$ $48$
$(24) (2)$ $(24)(2)$

Ellen baked $9$ $9$ fewer than Brenda so subtract
$48 - 9 = 39$ $48−9=39$

if you add up the total of cookies you get
$111$ $111$

$24 + 48 + 39 = 111$ $24+48+39=111$

(to get the answer for one person, you may just have to plug in random numbers to find out what works)

Answer 2 · 2016-09-26T17:13:32

Ellen has baked $39$ $39$ cakes.

Suppose Brenda has baked $x$ $x$ number of cakes.

Then, Giselle has baked twice as many i.e. $2 x$ $2x$ cakes

and Ellen has baked $9$ $9$ fewer then Giselle i.e. $2 x - 9$ $2x-9$ cakes.

As total number of cakes are $111$ $111$

$x + 2 x + 2 x - 9 = 111$ $x+2x+2x-9=111$

$5 x = 111 + 9 = 120$ $5x=111+9=120$

and $x = \frac{120}{5} = 24$ $x=120/5=24$

Hence, Ellen has baked $24 \times 2 - 9 = 39$ $24xx2-9=39$ cakes.