Jeremiah has $40, and Sonita has $20. Jeremiah is saving $5 per week, and Sonita is saving $10 per week. How many weeks do they need to save before they have the same amount of money?

Name: Solved: Jeremiah has $40, and Sonita has $20. Jeremiah is saving $5 per week, and Sonita is saving $10 per week. How many weeks do they need to save before they have the same amount of money? - MathMaster
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Answer to a math question Jeremiah has $40, and Sonita has $20. Jeremiah is saving $5 per week, and Sonita is saving $10 per week. How many weeks do they need to save before they have the same amount of money?

$Expert avatar$

Sigrid

4.5

119 Answers

Solution:
1. Initial amounts:
- Jeremiah:

USD 40

- Sonita:

USD 20

2. Weekly savings:
- Jeremiah:

USD 5

per week
- Sonita:

USD 10

per week

3. Let the number of weeks be

.

4. Amount after

weeks:
- Jeremiah:

40 + 5w

- Sonita:

20 + 10w

5. Set the amounts equal to find

40 + 5w = 20 + 10w

6. Solve for

40 + 5w - 5w = 20 + 10w - 5w

40 = 20 + 5w

40 - 20 = 5w

20 = 5w

w = \frac{20}{5} = 4

7. Therefore, they need to save for

weeks before they have the same amount of money.

Answer:

w = 4

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