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Melissa and Emily are playing at the pool. They have three different measuring jars for liters, cups, and pints. Melissa poured 7 cups of water and 3 liters of water into the pint jar and it was filled up to 9.8 pints. Later, Emily started with 5 liters of water in the pint jar and took out 9 cups. The remaining water level was equal to 6 pints.
Model the given situation as a system of linear equations and solve it for liters. Based on your solution, what do you notice about the relationship between pints and cups, and pints and liters?

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cocoabeanz
It is systems of equations.
Let cups=c and l=liters
7c + 3l = 9.8 
5l - 9c = 6 

35c + 15l = 49 
15l - 27c = 18 
62c = 31 

c = 1/2 pint 
l = 2.1 pint 
1 cup = 1/2 pint 1 liter = 2.1 pints
shubhamchouhanvrVT

The relationship will be given as 1 cup = 1/2 pint and 1 liter = 2.1 pints.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

It is a system of equations.

Let cups=c and l=liters

7c + 3l = 9.8

5l - 9c = 6

35c + 15l = 49

15l - 27c = 18

62c = 31

c = 1/2 pint

l = 2.1 pint

1 cup = 1/2 pint 1 liter = 2.1 pints

Therefore the relationship will be given as 1 cup = 1/2 pint and 1 liter = 2.1 pints.

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