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?
Second shelf length = 18 + 2(48) = 114 cm.
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.