Answer:
A small slushee has 12 ounces.
A medium 29 ounces.
And a large 72 ounces.
Step-by-step explanation:
Let s represent the size of the small slushee, m the medium slushee, and l the large slushee.
We know that the medium slushee has 17 more ounces than the small slushee. So:
[tex]m=s+17[/tex]
We also know that the large slushee l has 6 times as many ounces than the small slushee. Therefore:
[tex]l=6s[/tex]
Finally, we know that there are a total of 113 ounces in the small, medium, and large drinks combined. So:
[tex]s+m+l=113[/tex]
We can solve this triple system of equations using substitution. Let's substitute l for 6s and m for (s+17). This yields:
[tex]s+(s+17)+(6s)=113[/tex]
Combine like terms:
[tex]8s+17=113[/tex]
Subtract 17 from both sides:
[tex]8s=96[/tex]
Divide both sides by 8:
[tex]s=12\text{ oz}[/tex]
So, the small slushee is 12 ounces.
So, the medium slushee is [tex]12+17=29\text{ oz}[/tex]
And the large slushee is [tex]6(12)=72\text{ oz}[/tex]
And we're done!
