Mahni plans to spend the next 12 weeks saving some of her income. She will save $x a week for the first 6 weeks and then $(2x − 30) a week for the following 6 weeks. If she managed to save $213 in the first six weeks, how much did she save in total over 12 weeks? Explain correctly how to do this to get Brainliest ANSWER

Respuesta :

$x=213$

For first six weeks she saved 213$

Now

For next 6weeks

[tex]\\ \sf\longmapsto 2x-30=2(213)-30=426-30=396\$[/tex]

Total savings:-

.[tex]\\ \sf\longmapsto 396+213=609\$[/tex]

Total savings in first 6 weeks :

  • [tex]6x[/tex]

Totally savings in second 6 weeks :

  • [tex]6(2x - 30)[/tex]

If she saved $ 213 in first 6 weeks, then

  • [tex]6x = 213[/tex]

  • [tex]x = \dfrac{213}{6} [/tex]

  • [tex]x = 35.5[/tex]

now, money saved in second week :

  • [tex]6(2x - 30)[/tex]

  • [tex]6((2 \times 35.5) - 30)[/tex]

  • [tex]6(71 - 30)[/tex]

  • [tex]6 \times 41[/tex]

  • [tex]244[/tex]

The money saved in total 12 weeks :

  • [tex]213 + 244[/tex]

  • [tex] \$457[/tex]