At the school, Level J and Level K had an equal number of chairs at first. If 7 chairs were removed from Level K and 5 times as many chairs were removed from Level J as Level K, the number of chairs in Level K would be 5 times as many as in Level J. Find the number of chairs on each level.
|
Level J |
Level K |
Before |
1 u |
1 u |
Change |
- 35 |
- 7 |
After |
1 u - 35 |
1 u - 7 |
Number of chairs removed from Level J
= 5 x 7
= 35
Number of chairs on Level J and Level K at first is the same.
Number of chairs on Level K is 5 times as many as Level J in the end. If the number of chairs on Level J increases by 5 times, the number of chairs on Level J and Level K will be the same.
5(1 u - 35) = 1 u - 7
5 u - 175 = 1 u - 7
5 u - 1 u = 175 - 7
4 u = 168
1 u = 168 ÷ 4 = 42
Number of chairs in each floor
= 1 u
= 42
Answer(s): 42