At the concert hall were some adults.
14 of the number of locals was equal to 2 times the number of tourists. When another 54 tourists entered and 78 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 |
24 u |
8 u |
1 u |
7 u |
| Change |
- 234 |
- 78 |
+ 54 |
+ 378 |
| After |
21 p |
7 p |
3 p |
21 p |
14 of the locals = 2 times of the tourists
1x24x2 of the locals =
2x11x1 of the tourists
Make the numerators the same. LCM of 1 and 2 is 2.
28 of the locals =
21 of the tourists
Locals : Tourists = 8 : 1
Make p the same.
(3) = (4)
24 u - 234 = 7 u + 378
24 u - 7 u = 378 + 234
17 u = 612
1 u = 612 ÷ 17 = 36
Number of tourists at the concert hall at first
= 1 u
= 36
Answer(s): 36
