Twelve hundred dollars ($1200) is divided among four sisters so that each gets $100 more than her next-youngest sister. How much will the two middle sisters each receive?

The two middle sisters will each receive $250 and $350 respectively

Step-by-step explanation:

Let

The 4th sister = x

The 3rd sister = 100 + x

The second sister = 200 + x

The first sister = 300 + x

Total amount to share = $1,200

x + (x + 100) + (x + 200) + (x + 300) = 1,200

x + x + 100 + x + 200 + x + 300 = 1,200

4x + 600 = 1,200

4x = 1,200 - 600

4x = 600

Divide both sides by 4

x = 600/4

= 150

x = $150

There two middle sisters are:

The 3rd sister = 100 + x

= 100 + 150

= $250

The second sister = 200 + x

= 200 + 150

= $350

The two middle sisters will each receive $250 and $350 respectively

The 4th sister = x = $150

The first sister = 300 + x

= 300 + 150

= $450

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