Question

The medium sushee has 17 more ounces than the small slushee

Answer 1

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:

$m=s+17$

We also know that the large slushee l has 6 times as many ounces than the small slushee. Therefore:

$l=6s$

Finally, we know that there are a total of 113 ounces in the small, medium, and large drinks combined. So:

$s+m+l=113$

We can solve this triple system of equations using substitution. Let's substitute l for 6s and m for (s+17). This yields:

$s+(s+17)+(6s)=113$

Combine like terms:

$8s+17=113$

Subtract 17 from both sides:

$8s=96$

Divide both sides by 8:

$s=12\text{ oz}$

So, the small slushee is 12 ounces.

So, the medium slushee is $12+17=29\text{ oz}$

And the large slushee is $6(12)=72\text{ oz}$

And we're done!