Ari thinks the perfect milkshake has $5$ scoops of ice cream for every $3$ spoonfuls of caramel. Freeze Zone makes batches of milkshakes with $10$ scoops of ice cream and $7$ spoonfuls of caramel. $\newline$ What will Ari think about the amount of caramel in Freeze Zone's milkshakes? $\newline$ Choose $1$ answer: $\newline$ (A) Freeze Zone's milkshakes have too much caramel. $\newline$ (B) Freeze Zone's milkshakes have too little caramel. $\newline$ (C) Freeze Zone's milkshakes are just right.

Full solution

Q. Ari thinks the perfect milkshake has

5

scoops of ice cream for every

3

spoonfuls of caramel. Freeze Zone makes batches of milkshakes with

10

scoops of ice cream and

7

spoonfuls of caramel.

\newline

What will Ari think about the amount of caramel in Freeze Zone's milkshakes?

\newline

Choose

1

answer:

\newline

(A) Freeze Zone's milkshakes have too much caramel.

\newline

(B) Freeze Zone's milkshakes have too little caramel.

\newline

Identify Ratio Preference: Identify Ari's preferred ratio of ice cream to caramel, which is $5$ scoops of ice cream for every $3$ spoonfuls of caramel.
Determine Freeze Zone Ratio: Determine the ratio of ice cream to caramel in Freeze Zone's milkshakes, which is $10$ scoops of ice cream to $7$ spoonfuls of caramel.
Compare Ratios: Compare Ari's preferred ratio to Freeze Zone's ratio. To do this, we need to find a common basis for comparison. We can scale Ari's preferred ratio to see how much caramel would be needed for $10$ scoops of ice cream. $\newline$ If $5$ scoops of ice cream require $3$ spoonfuls of caramel, then $10$ scoops (which is double the amount of ice cream) would require double the amount of caramel, which is $3 \times 2 = 6$ spoonfuls of caramel.
Find Common Basis: Now that we have a common basis for comparison ( $10$ scoops of ice cream), we can see that Ari would expect $6$ spoonfuls of caramel for $10$ scoops of ice cream, but Freeze Zone uses $7$ spoonfuls of caramel for the same amount of ice cream.
Evaluate Caramel Amount: Since Freeze Zone uses $7$ spoonfuls of caramel for $10$ scoops of ice cream, which is more than Ari's preferred $6$ spoonfuls, Ari would think that Freeze Zone's milkshakes have too much caramel.