You have $60 and your sister has $120. You are saving $14 per week and your sister is saving $10 per week. How
long will it be before you and your sister have the same amount of money? What amount would you have the same?
Please use an equation to solve the problem.

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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