Answer:
Part 1) Bottle 1 (vanilla=1,almond=3,pineapple=4)
Part 2) Bottle 2 (vanilla=2,almond=6,pineapple=8)
Part 3) Bottle 3 (vanilla=1 1/2,almond=4 1/2,pineapple=6)
Step-by-step explanation:
Let
x ----> the amount of vanilla sent
y ----> amount of almond sent
z ----> the amount of pineapple sent
we know that

so


-----> equation A


-----> equation B


-----> equation C
Part 1) Bottle 1
vanilla=?
almond=?
pineapple=4
we have

<em>Find the value of x</em>
substitute the value of z in equation B


<em>Find the value of y</em>
substitute the value of z in equation C


therefore
<em>Bottle 1</em>
vanilla=1
almond=3
pineapple=4
Part 2) Bottle 2
vanilla=?
almond=6
pineapple=?
we have

<em>Find the value of x</em>
substitute the value of y in equation A

<em>Find the value of z</em>
substitute the value of x in equation B

solve for z

therefore
<em>Bottle 2</em>
vanilla=2
almond=6
pineapple=8
Part 3) Bottle 3
vanilla=1 1/2
almond=?
pineapple=?
we have

convert to an improper fraction

<em>Find the value of y</em>
substitute the value of x in equation A


convert to mixed number

<em>Find the value of z</em>
substitute the value of x in equation B


therefore
<em>Bottle 3</em>
vanilla=1 1/2
almond=4 1/2
pineapple=6