At the concert hall were some adults.
12 of the number of locals was equal to 3 times the number of tourists. When another 46 tourists entered and 54 locals left, the ratio of the number of locals to the number of tourists become 7 : 3. Find the number of tourists at the concert hall at first.
|
Make p the same (1)x3 = (3) |
Locals (1) |
Tourists (2) |
Make p the same (2)x7 = (4) |
Before |
18 u |
6 u |
1 u |
7 u |
Change |
- 162 |
- 54 |
+ 46 |
+ 322 |
After |
21 p |
7 p |
3 p |
21 p |
12 of the locals = 3 times of the tourists
1x32x3 of the locals =
3x11x1 of the tourists
Make the numerators the same. LCM of 1 and 3 is 3.
36 of the locals =
31 of the tourists
Locals : Tourists = 6 : 1
Make p the same.
(3) = (4)
18 u - 162 = 7 u + 322
18 u - 7 u = 322 + 162
11 u = 484
1 u = 484 ÷ 11 = 44
Number of tourists at the concert hall at first
= 1 u
= 44
Answer(s): 44