Answer:
<em>Freeze Zone has too much caramel.</em>
Step-by-step explanation:
Given:
Ari thinks the perfect milkshake has 333 ounces of caramel for every 555 scoops of ice cream.
Freeze Zone makes batches of milkshakes with 666 ounces of caramel and 888 scoops of ice cream.
Question asked:
What will Ari think about Freeze Zone's milkshakes ? ( option must be there)
Choose one answer:
<em>Freeze Zone has too much caramel.</em>
<em>Freeze Zone has too little caramel.</em>
<em>Freeze Zone is just right.</em>
Solution:
First of all we will find both person's ratio of caramel to ice cream in their milkshakes.
<u>Ratio of Ari</u>
![\frac{caramel}{milkshake} =\frac{333}{555} =\frac{3}{5}](https://tex.z-dn.net/?f=%5Cfrac%7Bcaramel%7D%7Bmilkshake%7D%20%3D%5Cfrac%7B333%7D%7B555%7D%20%3D%5Cfrac%7B3%7D%7B5%7D)
<u>Ratio of Freeze Zone</u>
![\frac{caramel}{milkshake} =\frac{666}{888} =\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7Bcaramel%7D%7Bmilkshake%7D%20%3D%5Cfrac%7B666%7D%7B888%7D%20%3D%5Cfrac%7B3%7D%7B4%7D)
Now, to comparing ratio of Ari and ratio of Freeze Zone, we will equalize the denominator:-
<em>For Ari:</em>
Multiplying numerator and denominator by 4
![Ratio\ of\ Ari=\frac{3}{5}=\frac{3\times4}{5\times4} =\frac{12}{20}](https://tex.z-dn.net/?f=Ratio%5C%20of%5C%20Ari%3D%5Cfrac%7B3%7D%7B5%7D%3D%5Cfrac%7B3%5Ctimes4%7D%7B5%5Ctimes4%7D%20%3D%5Cfrac%7B12%7D%7B20%7D)
<em>For Freeze Zone:</em>
Multiplying numerator and denominator by 5
![Ratio\ of\ Freeze\ Zone=\frac{3}{4}=\frac{3\times5}{4\times5} =\frac{15}{20}](https://tex.z-dn.net/?f=Ratio%5C%20of%5C%20Freeze%5C%20Zone%3D%5Cfrac%7B3%7D%7B4%7D%3D%5Cfrac%7B3%5Ctimes5%7D%7B4%5Ctimes5%7D%20%3D%5Cfrac%7B15%7D%7B20%7D)
<em>By comparison, we find that for making 20 scoops of ice cream, Freeze Zone is using 15 ounces of caramel while Ari thinks that 12 ounces of caramel must be used to make perfect milkshake</em>s.
<em>Conclusion:</em>
<em>Freeze Zone has too much caramel.</em>
<u />