At the concert hall were some adults.
13 of the number of tourists was equal to 2 times the number of locals. When another 34 locals entered and 66 tourists left, the ratio of the number of tourists to the number of locals become 8 : 3. Find the number of tourists at the concert hall at first.
| |
Make p the same
(1)x3 = (3) |
Tourists
(1) |
Locals
(2) |
Make p the same
(2)x8 = (4) |
| Before |
18 u |
6 u |
1 u |
8 u |
| Change |
- 198 |
- 66 |
+ 34 |
+ 272 |
| After |
24 p |
8 p |
3 p |
24 p |
13 of the tourists = 2 times of the locals
1x23x2 of the tourists =
2x11x1 of the locals
Make the numerators the same. LCM of 1 and 2 is 2.
26 of the tourists =
21 of the locals
Tourists : Locals = 6 : 1
Make p the same.
(3) = (4)
18 u - 198 = 8 u + 272
18 u - 8 u = 272 + 198
10 u = 470
1 u = 470 ÷ 10 = 47
Number of tourists at the concert hall at first
= 6 u
= 6 x 47
= 282
Answer(s): 282
