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
equals=
the number of bottles of soda purchased
.
Let
equals=
the number of bottles of juice purchased
.
System of Equations:

Answer 1

Let s be the number of bottles of soda purchased.

Let j be the number of bottles of juice purchased.

System of Equations:
1. s + j = 11 (the total number of bottles purchased)
2. 45s + 20j = 445 (the total number of grams of sugar)