Question

question
mason went to the grocery store and bought bottles of soda and bottles of juice. each bottle of soda has 45 grams of sugar and each bottle of juice has 15 grams of sugar. mason purchased a total of 11 bottles of juice and soda which collectively contain 285 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.
answer attempt 1 out of 2
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system of equations:

Explanation:

Step1: Define variables

Let \( x \) = number of soda bottles, \( y \) = number of juice bottles.

Step2: First equation (total bottles)

Total bottles: \( x + y = 11 \)

Step3: Second equation (total sugar)

Sugar per soda: 45g, per juice:15g, total sugar: \( 45x + 15y = 285 \)

System of Equations:

\( x + y = 11 \)
\( 45x + 15y = 285 \)

Answer:

Let \( x \) = number of soda bottles, \( y \) = number of juice bottles.
System of Equations:
\( x + y = 11 \)
\( 45x + 15y = 285 \)