At the school, Level Q and Level R had an equal number of desks at first. If 8 desks were removed from Level R and 4 times as many desks were removed from Level Q as Level R, the number of desks in Level R would be 5 times as many as in Level Q. Find the number of desks on each level.
|
Level Q |
Level R |
Before |
1 u |
1 u |
Change |
- 32 |
- 8 |
After |
1 u - 32 |
1 u - 8 |
Number of desks removed from Level Q
= 4 x 8
= 32
Number of desks on Level Q and Level R at first is the same.
Number of desks on Level R is 5 times as many as Level Q in the end. If the number of desks on Level Q increases by 5 times, the number of desks on Level Q and Level R will be the same.
5(1 u - 32) = 1 u - 8
5 u - 160 = 1 u - 8
5 u - 1 u = 160 - 8
4 u = 152
1 u = 152 ÷ 4 = 38
Number of desks in each floor
= 1 u
= 38
Answer(s): 38