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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.
What will Ari think about the amount of caramel in Freeze Zone's milkshakes?
Choose 1 answer:
(A) Freeze Zone's milkshakes have too much caramel.
(B) Freeze Zone's milkshakes have too little caramel.
(c) Freeze Zone's milkshakes are just right.

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.

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Quantities that combine to zero: word problems

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

(C) Freeze Zone's milkshakes are just right.

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. This can be written as the ratio $5:3$ .
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. This can be written as the ratio $10:7$ .
Compare Ratios: Compare Ari's preferred ratio to Freeze Zone's ratio. To do this, we need to see if the ratios are equivalent. We can simplify Ari's ratio from $5:3$ to $10:6$ by multiplying both numbers by $2$ , for easier comparison with Freeze Zone's ratio.
Analyze Comparison: Now that we have Ari's preferred ratio in a form that can be directly compared to Freeze Zone's ratio $10:6$ vs. $10:7$ ), we can see that for the same amount of ice cream ( $10$ scoops), Ari prefers $6$ spoonfuls of caramel, while Freeze Zone uses $7$ spoonfuls.
Draw Conclusion: Since Freeze Zone uses $7$ spoonfuls of caramel for $10$ scoops of ice cream, which is more than Ari's preferred $6$ spoonfuls for the same amount of ice cream, we can conclude that Freeze Zone's milkshakes have too much caramel according to Ari's preference.

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