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Vic's favorite cookie recipe uses 250 grams of flour for every 170 grams of butter. Imani made cookies using 750 grams of flour for every 630 grams of butter. What will Vic think of the amount of butter in Imani's cookies? Choose 1 answer: (A) Imani's cookies have too much butter. (B) Imani's cookies don't have enough butter. (c) Imani's cookies have the right amount of butter.

Vic's favorite cookie recipe uses 250250 grams of flour for every 170170 grams of butter. Imani made cookies using 750750 grams of flour for every 630630 grams of butter.\newlineWhat will Vic think of the amount of butter in Imani's cookies?\newlineChoose 11 answer:\newline(A) Imani's cookies have too much butter.\newline(B) Imani's cookies don't have enough butter.\newline(C) Imani's cookies have the right amount of butter.

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Full solution

Q. Vic's favorite cookie recipe uses 250250 grams of flour for every 170170 grams of butter. Imani made cookies using 750750 grams of flour for every 630630 grams of butter.\newlineWhat will Vic think of the amount of butter in Imani's cookies?\newlineChoose 11 answer:\newline(A) Imani's cookies have too much butter.\newline(B) Imani's cookies don't have enough butter.\newline(C) Imani's cookies have the right amount of butter.
  1. Vic's recipe ratio: Vic's favorite cookie recipe uses 250250 grams of flour for every 170170 grams of butter. To compare the recipes, we need to find the ratio of flour to butter in both recipes.\newlineFor Vic's recipe, the ratio is 250 grams of flour170 grams of butter\frac{250 \text{ grams of flour}}{170 \text{ grams of butter}}.
  2. Imani's recipe ratio: Now, let's calculate the ratio for Imani's recipe, which uses 750750 grams of flour for every 630630 grams of butter.\newlineThe ratio for Imani's recipe is 750 grams of flour630 grams of butter\frac{750\text{ grams of flour}}{630\text{ grams of butter}}.
  3. Simplifying Vic's ratio: To compare the ratios, we should simplify them. Let's start by simplifying Vic's ratio.\newlineThe simplified ratio for Vic's recipe is 250170\frac{250}{170}, which can be reduced by dividing both numbers by 1010, giving us 2517\frac{25}{17}.
  4. Simplifying Imani's ratio: Next, we simplify Imani's ratio in the same way.\newlineThe simplified ratio for Imani's recipe is 750630\frac{750}{630}, which can be reduced by dividing both numbers by 1010, giving us 7563\frac{75}{63}. Further simplification by dividing both numbers by 33 gives us 2521\frac{25}{21}.
  5. Comparing the simplified ratios: Now we compare the simplified ratios. Vic's ratio is 2517\frac{25}{17}, and Imani's ratio is 2521\frac{25}{21}. Since 1717 is less than 2121, Vic's recipe uses more butter relative to flour than Imani's recipe does.
  6. Conclusion: Based on the comparison, Imani's cookies have less butter in proportion to the flour compared to Vic's recipe.\newlineTherefore, Vic might think that Imani's cookies don't have enough butter.

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