At the school, Floor R and Floor S had an equal number of chairs at first. If 6 chairs were removed from Floor S and 5 times as many chairs were removed from Floor R as Floor S, the number of chairs in Floor S would be 4 times as many as in Floor R. Find the number of chairs on each floor.
|
Floor R |
Floor S |
Before |
1 u |
1 u |
Change |
- 30 |
- 6 |
After |
1 u - 30 |
1 u - 6 |
Number of chairs removed from Floor R
= 5 x 6
= 30
Number of chairs on Floor R and Floor S at first is the same.
Number of chairs on Floor S is 4 times as many as Floor R in the end. If the number of chairs on Floor R increases by 4 times, the number of chairs on Floor R and Floor S will be the same.
4(1 u - 30) = 1 u - 6
4 u - 120 = 1 u - 6
4 u - 1 u = 120 - 6
3 u = 114
1 u = 114 ÷ 3 = 38
Number of chairs in each floor
= 1 u
= 38
Answer(s): 38