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cestrela7 [59]
3 years ago
13

Melissa and Emily are playing at the pool.They have three different measuring jars for; liters, cups, and pints. They find that

7 cups of water and 3 liters of water filled 9.8 pints. Later, they find that if they start with 5 liters of water and remove 9 cups of water, they end up with 6 pints of water. Model the given two situations as a system of linear equations. Based on your equations, determine the relationship between;
Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
7 0

Answer:

Here is the missing part.

Cups and liters:-1 litre = 2.1 cups

Cups and pints:- 1 pint = 2 cups

Pints and liters:-1 litre = 2.1 pints

Step-by-step explanation:

Step 1:

7 cups + 3 liters = 9.8 pints

7c+3l=9.8p

5 liters - 9 cups = 6 pints

5l+9c=6p

Cups and Liters

7c+3l=9.8p

p= 7c+3l/9.8 (put in equation 2)

5l-9c= 7c+3l/9.8\\49l-88.2c=7c+3l\\49l-3l=7c-88.2c\\46l=45.2c

1 Liter = 2.1 Cups.

Step 2:

Cups and Pints

7c+3l=9.8p\\3l=9.8p-7c

l=9.8p-7c/3(put in equation 2)

5(9.8p-7c/3)-9c=6p\\(49p-35c/3)-9c=6p\\49/3p-35/3c-9c=6p\\49/3p-6p=35/3c+9c\\31/3p=62/3c

1 Pint = 2 Cups.

Step 3:

Pints and Liters

7c=9.8p-3l

c=9.8p-3l/7(put in equation 2)

5l-9(9.8p-3l/7)=6p\\5l-63/5p+27/7l=6p\\5l+27/7l=6p+63/5p\\62/7l=93/5p

​1 Liter = 2.1 Pints.

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