Allison 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 20 grams of sugar. Allison purchased a total of 11 bottles of juice and soda which collectively contain 445 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.

Question

Allison 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 20 grams of sugar. Allison purchased a total of 11 bottles of juice and soda which collectively contain 445 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 4

Let
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Let
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.
System of Equations:
Submit Answer

Answer 1

Let x = number of bottles of soda purchased

Let y = number of bottles of juice purchased

The first equation represents the total number of bottles purchased:
x + y = 11

The second equation represents the total grams of sugar in the bottles purchased:
45x + 20y = 445

Answer 2

Let x = number of bottles of soda purchased

what is the system of equations