Respuesta :
Answer:
15 weeks
$270
Step-by-step explanation:
60+14x=120+10x
4x=60
x=15 weeks
amount= 60+14*15= $270
The time when you will have the same amount with your sister is 15 weeks
The amount you will have the same is $270
The given parameters;
- the amount you have, = $60
- your sister amount, = $120
- amount you save per week = $14
- amount your sister save per week, = $10
Let the time when you will have the same amount with your sister = x
The number of weeks in which you will have the same amount is calculated as;
The first equation will be;
60 + 14x
The second equation will be;
120 + 10x
Set the two equations to be equal to each other;
60 + 14x = 120 + 10x
14x - 10x = 120 - 60
4x = 60
[tex]x = \frac{60}{4} \\\\x = 15\ weeks[/tex]
The amount you will have the same is calculated as;
= 60 + 14(15)
= 60 + 210
= $270
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