5. Pretty and Susan got sweets in the ratio of their ages. Pretty is 5 years old and Susan 3 years younger. If they got 49 sweets in total, how many sweets did each girl get?

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UpStudy AI · Accepted Answer

1. Let Pretty's age be $$5$$ years and Susan's age be $$5-3=2$$ years.

2. Since the sweets are divided in the ratio of their ages, the ratio is $$5:2$$.

3. Let the common multiplier be $$k$$. Then, Pretty gets $$5k$$ sweets and Susan gets $$2k$$ sweets.

4. The total number of sweets is given as:
   $$
   5k + 2k = 49
   $$

5. Combine like terms:
   $$
   7k = 49
   $$

6. Solve for $$k$$:
   $$
   k = \frac{49}{7} = 7
   $$

7. Now, calculate the sweets for each girl:
   - Pretty gets:
     $$
     5k = 5 \times 7 = 35 \text{ sweets}
     $$
   - Susan gets:
     $$
     2k = 2 \times 7 = 14 \text{ sweets}
     $$

Thus, Pretty gets $$35$$ sweets and Susan gets $$14$$ sweets.
Pretty gets 35 sweets and Susan gets 14 sweets.

5. Pretty and Susan got sweets in the ratio of their ages. Pretty is 5 years old and Susan 3 years younger. If they got 49 sweets in total, how many sweets did each girl get?

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