Question

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

Answer 1

$x=213$

For first six weeks she saved 213$

Now

For next 6weeks

$\\ \sf\longmapsto 2x-30=2(213)-30=426-30=396$

Total savings:-

.$\\ \sf\longmapsto 396+213=609$

Answer 2

Total savings in first 6 weeks :

• $6x$

Totally savings in second 6 weeks :

• $6(2x - 30)$

If she saved $ 213 in first 6 weeks, then

• $6x = 213$

• $x = \dfrac{213}{6}$

• $x = 35.5$

now, money saved in second week :

• $6(2x - 30)$

• $6((2 \times 35.5) - 30)$

• $6(71 - 30)$

• $6 \times 41$

• $244$

The money saved in total 12 weeks :

• $213 + 244$

• $\ 457$