Michael went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 40 grams of sugar and each bottle of juice has 20 grams of sugar. Michael purchased a total of 11 bottles of juice and soda which collectively contain 300 grams of sugar. Write a system of equations that could be used to determine the number of bottles of soda purchased and the number of bottles of juice purchased. Define the variables that you use to write the system.

A system of equations that could be used to determine the number of bottles of soda purchased and the number of bottles of juice purchased is:

s + j = 11

40s + 20j = 300

The number of bottles of soda bought would be represented with s.

The number of bottles of juice bought would be represented with j.

The total number of bottles that were purchased is 11. This means that the sum of bottles of juice and the bottles of soda bought would be equal to 11. This can be represented with this equation:

s + j = 11 equation 1

The total grams of sugar that was bought is 300 grams. This total amount bought would be a function of the number of bottles bought and the grams the bottles can contain. This can be represented with this equation:

40s + 20j = 300 equation 2

Equation 1 and 2 are known as simultaneous equations.

To learn more about simultaneous equations, please check: link

Let S be the no. of sodas

Let J be the no. of juices

S + J = 11

40S + 20J = 300

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