Acosmetic company makes three bottles of scented lotion using the recipe shown. each bottle holds a different amount of lotion. drag numbers to show how much of each scent should be used in each bottle of lotion.
1/8= vanilla sent
3/8= almond sent
1/2= pineapple sent

bottle 1:
vanilla=?
almond=?
pineapple=4

bottle 2:
vanilla=?
almond=6
pineapple=?

bottle 3:
vanilla=1 1/2
almond=?
pineapple=?

15

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

Find the value of x

substitute the value of z in equation B

Find the value of y

substitute the value of z in equation C

therefore

Bottle 1

vanilla=1

almond=3

pineapple=4

Part 2) Bottle 2

vanilla=?

almond=6

pineapple=?

we have

Find the value of x

substitute the value of y in equation A

Find the value of z

substitute the value of x in equation B

solve for z

therefore

Bottle 2

vanilla=2

almond=6

pineapple=8

Part 3) Bottle 3

vanilla=1 1/2

almond=?

pineapple=?

we have

convert to an improper fraction

Find the value of y

substitute the value of x in equation A

convert to mixed number

Find the value of z

substitute the value of x in equation B

therefore

Bottle 3

vanilla=1 1/2

almond=4 1/2

pineapple=6

step-by-step explanation:

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step-by-step explanation: