Question

The medium sushee has 17 more ounces than the small slushee

The large slushee has 6 times as many ounces than the small slushee
The Slushee Company says there are 113 ounces total in the small, medium, and large drinks
How many ounces are in cach size slushee?

Answer 1

A small slushee has 12 ounces.

A medium 29 ounces.

And a large 72 ounces.

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!