## 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

Question

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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1 week 2021-09-11T03:46:55+00:00 1 Answer 0

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