There was an equal number of tables and stools in the morning. At 1 p.m., some tables were added and some stools were removed, resulting in the number of tables being increased by 20% while the number of stools decreased by 30%. At 7 p.m. the number of tables increased by 50%. If a total of 48 tables were added during the day, how many more tables than stools were there in the end?
At 1 p.m. |
Tables |
Stools |
Before |
1 u |
1 u |
Change |
+ 0.2 u |
- 0.3 u |
After |
1.2 u |
0.7 u |
At 7 p.m. |
Tables |
Stools |
Before |
1.2 u |
0.7 u |
Change |
+ 0.6 u |
No change |
After |
1.8 u |
0.7 u |
Number of tables added
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
Number of stools removed
= 30% x 1 u
=
30100 x 1 u
= 0.3 u
Number of tables increased by tables at 7 p.m.
= 50% x 1.2 u
=
50100 x 1.2 u
= 0.6 u
Number of tables added during the day
= 1.8 u - 1 u
= 0.8 u
0.8 u = 48
1 u = 48 ÷ 0.8 = 60
Number of more tables than stools in the end
= 1.8 u - 0.7 u
= 1.1 u
= 1.1 x 60
= 66
Answer(s): 66