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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 55 scoops of ice cream for every 33 spoonfuls of caramel. Freeze Zone makes batches of milkshakes with 1010 scoops of ice cream and 77 spoonfuls of caramel.\newlineWhat will Ari think about the amount of caramel in Freeze Zone's milkshakes?\newlineChoose 11 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 55 scoops of ice cream for every 33 spoonfuls of caramel. Freeze Zone makes batches of milkshakes with 1010 scoops of ice cream and 77 spoonfuls of caramel.\newlineWhat will Ari think about the amount of caramel in Freeze Zone's milkshakes?\newlineChoose 11 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.
  1. Identify Ratio Preference: Identify Ari's preferred ratio of ice cream to caramel, which is 55 scoops of ice cream for every 33 spoonfuls of caramel.
  2. Determine Freeze Zone Ratio: Determine the ratio of ice cream to caramel in Freeze Zone's milkshakes, which is 1010 scoops of ice cream to 77 spoonfuls of caramel.
  3. 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 1010 scoops of ice cream.\newlineIf 55 scoops of ice cream require 33 spoonfuls of caramel, then 1010 scoops (which is double the amount of ice cream) would require double the amount of caramel, which is 3×2=63 \times 2 = 6 spoonfuls of caramel.
  4. Find Common Basis: Now that we have a common basis for comparison (1010 scoops of ice cream), we can see that Ari would expect 66 spoonfuls of caramel for 1010 scoops of ice cream, but Freeze Zone uses 77 spoonfuls of caramel for the same amount of ice cream.
  5. Evaluate Caramel Amount: Since Freeze Zone uses 77 spoonfuls of caramel for 1010 scoops of ice cream, which is more than Ari's preferred 66 spoonfuls, Ari would think that Freeze Zone's milkshakes have too much caramel.

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