SOLUTION: 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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 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       Log On


   

Question 1039692: 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?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
system%28h=howmanyPintsperCup%2Ck=howmanyPintsperLiter%29


Abbreviated units here will be c for cups, L for liters, p for pints. These are not being used as variables, but as UNITS of volume.
system%287c%2B3L=9.8p%2C5L-9c=6p%29


Might be more than one way to go. Try changing Melissa's equation to all pints; and Emily's equation to all pints.

system%287h%2B3k=9.8%2C5k-9h=6%29
or keeping form the same,
system%287h%2B3k=9.8%2C-9h%2B8.5k=6%29
That is the system. Two linear equations in two unknown unit conversion ratios.