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Answer:
Allison = $0.27
Brianna = $1.89
Step-by-step explanation:
The total cookies that the three girls have are:
Allison's cookies + Brianna's Cookies
= 9+15
=24
There is a total of 24 cookies which has to be divided between the 3.
So
Each girl gets 24/3 = 8 cookies.
Since Celeste had no cookies she will have to pay for the 8 cookies.
Allison had 9, she will give one to Celeste
Brianna had 15 out of which she will use 8 for her self and 7 will be given to Celeste.
Celeste is paying 2.16 for 8 cookies.
Price of one cookie = 2.16/8
=$0.27
So, amount that will be given to Allison = 0.27 * 1 = $0.27
Amount that will be given to Brianna = 0.27 * 7 = $1.89
The cost of the mixture is $69 *$1 = $69. If all 69 pounds were peanuts, the cost would be 69*$0.99 = $68.31, which is $0.69 less. Each pound of walnuts used instead of peanuts adds $0.03 to the cost of the mixture, so there were $0.69/$0.03 = 23 pounds of walnuts.
<span>_____ </span>
<span>Let w represent the number of pounds of walnuts in the mixture. Then 69-w is the number of pounds of peanuts. The cost of the mixture will be </span>
<span>1.02w + 0.99(69-w) = 1.00*69 dollars </span>
<span>0.03w + 68.31 = 69.00 </span>
<span>w = (69.00 - 68.31)/0.03 = 0.69/0.03 = 23</span>
Blinding is part of this, as the participants do not know whether they received the competitor's product.
