At the concert hall were some adults.
14 of the number of tourists was equal to 2 times the number of locals. When another 26 locals entered and 62 tourists left, the ratio of the number of tourists to the number of locals become 7 : 2. Find the number of tourists at the concert hall at first.
|
Make p the same (1)x2 = (3) |
Tourists (1) |
Locals (2) |
Make p the same (2)x7 = (4) |
Before |
16 u |
8 u |
1 u |
7 u |
Change |
- 124 |
- 62 |
+ 26 |
+ 182 |
After |
14 p |
7 p |
2 p |
14 p |
14 of the tourists = 2 times of the locals
1x24x2 of the tourists =
2x11x1 of the locals
Make the numerators the same. LCM of 1 and 2 is 2.
28 of the tourists =
21 of the locals
Tourists : Locals = 8 : 1
Make p the same.
(3) = (4)
16 u - 124 = 7 u + 182
16 u - 7 u = 182 + 124
9 u = 306
1 u = 306 ÷ 9 = 34
Number of tourists at the concert hall at first
= 8 u
= 8 x 34
= 272
Answer(s): 272