Problem

Robert needs to cut four shelves from a board that is 2.5 meters long. The second shelf is 18 centimeters longer than twice the length of the first shelf. The third shelf is 12 centimeters shorter than the first shelf. The remaining shelf is 4 centimeters longer than the first shelf. If Robert must use the entire 2.5 meter board for the shelves, what is the length of the second shelf, in centimeters?

Solution

Step 1 :Let first shelf length be x cm.

Step 2 :Second shelf length = 18 + 2x cm.

Step 3 :Third shelf length = x - 12 cm.

Step 4 :Fourth shelf length = x + 4 cm.

Step 5 :x + (18 + 2x) + (x - 12) + (x + 4) = 250

Step 6 :5x + 10 = 250

Step 7 :5x = 240

Step 8 :x = 48

Step 9 :Second shelf length = 18 + 2(48) = 114 cm.

From Solvely APP
Source: https://solvelyapp.com/problems/18892/

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