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Question
question
nayeli went to the grocery store and bought bottles of soda and bottles of juice. each bottle of soda has 25 grams of sugar and each bottle of juice has 15 grams of sugar. nayeli purchased 5 more bottles of soda than bottles of juice and they all collectively contain 205 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
let \\(\square = \\) \\(\quad\\).
let \\(\square = \\) \\(\quad\\).
system of equations:
\\(\quad\\)
\\(\quad\\)
Step1: Define variables
Let $s$ = number of soda bottles, $j$ = number of juice bottles.
Step2: Relate bottle counts
$5$ more soda than juice: $s = j + 5$
Step3: Total sugar equation
Sugar from soda + juice = 205: $25s + 15j = 205$
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Let $s$ = number of bottles of soda purchased
Let $j$ = number of bottles of juice purchased
System of Equations:
$s = j + 5$
$25s + 15j = 205$