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Jack has $55, and Emily has $28. Jack is saving $4 per day, and Emily is saving $13 per day. After how many days will Jack and Emily have the same amount of money?
A: 1 Day
B: 3 Days
C: 4 Days
D: 8 Days

Respuesta :

MooQuan
The answer should be 3 days
JeanaShupp

Answer: B: 3 Days

Step-by-step explanation:

Let x be the number of days when Jack and Emily have the same amount of money.

Then, the total amount saved by Jack = [tex]4x+55[/tex]

The total amount saved by Emily  = [tex]13x+28[/tex]

According to the question,

[tex]13x+28=4x+55\\\Rightarrow\ 13x-4x=55-28\\\Rightarrow\ 9x=27\\\Rightarrow\ x=3[/tex]

Hence after 3 days, Jack and Emily will have the same amount of money.

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