Respuesta :

Answer:

a) 4 months

b) $600

Step-by-step explanation:

1. x - number of months the total amount paid to be the same for both stores.

2. That same amount for store A: [tex]300 + 75 \times x[/tex]

3. That same amount for store B: [tex]200 + 100 \times x[/tex]

4. Since it's the same amount for both stores we can make an equation:

  • [tex]300+75\times x=200+100\times x[/tex]
  • [tex]300-200=100x-75x[/tex]
  • [tex]100=25x[/tex]
  • [tex]x=4[/tex]

5. To find that same amount, we can use either side of above equation:

  • [tex]300+75\times 4=600[/tex]