Bethany has $120 in her savings account and spends $8 a week at the candy store. Johnny has $75 in his savings account and spends $3 a week at the candy store. After how many weeks do they have the same amount in their savings account?

Question

Mathematics

Georgia Cannon

4 September, 00:44

Bethany has $120 in her savings account and spends $8 a week at the candy store. Johnny has $75 in his savings account and spends $3 a week at the candy store. After how many weeks do they have the same amount in their savings account?

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Answers (1)

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Pierce Bullock · Answer 1

Answer: it will take 9 weeks for them to have the same amount in their account.

Step-by-step explanation:

Let x represent the number if weeks it will take for them to have the same amount in their savings account.

Bethany has $120 in her savings account and spends $8 a week at the candy store. It means that the amount that she would have in her account after x weeks is

120 - 8x

Johnny has $75 in his savings account and spends $3 a week at the candy store. It means that the amount that she would have in her account after x weeks is

75 - 3x

For both amounts to be the same, the number of weeks would be

120 - 8x = 75 - 3x

- 3x + 8x = 120 - 75

5x = 45

x = 45/5

x = 9