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How many bottles are in each group when 1700 bottles of water arranged into 4 groups with the 2nd group having 20 more than the 1st the 3rd twice the 2nd and the 4th 10 more than the 3rd?
Wiki User
∙ 6y ago
let the number of bottles in the first group be B
Then
- the 2nd group has 1st + 20 = B + 20 bottles;
- the 3rd group has 2nd × 2 = 2 × (B + 20) = 2B + 40 bottles;
- the 4th group has 3rd + 10 = 2B + 40 + 10 = 2B + 50 bottles.
The total number of bottles is the sum of the groups which is:
bottles = B + B + 20 + 2B + 40 + 2B + 50 = 6B + 110
But there are 1700 bottles, we can solve for B:
6B + 110 = 1700
→ 6B = 1590
→ B = 265
→ the groups contain:
- B = 265 bottles
- B + 20 = 265 + 20 = 285 bottles
- 2B + 40 = 530 + 40 = 570 bottles
- 2B + 50 = 530 + 50 = 580 bottles
The groups contain 265, 285, 570 and 580 bottles respectively.
Wiki User
∙ 6y ago
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