At the tourist attraction were some adults.
12 of the number of locals was equal to 4 times the number of tourists. When another 59 tourists entered and 38 locals left, the ratio of the number of locals to the number of tourists become 7 : 3. Find the number of tourists at the tourist attraction 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 |
- 114 |
- 38 |
+ 59 |
+ 413 |
| After |
21 p |
7 p |
3 p |
21 p |
12 of the locals = 4 times of the tourists
1x42x4 of the locals =
4x11x1 of the tourists
Make the numerators the same. LCM of 1 and 4 is 4.
48 of the locals =
41 of the tourists
Locals : Tourists = 8 : 1
Make p the same.
(3) = (4)
24 u - 114 = 7 u + 413
24 u - 7 u = 413 + 114
17 u = 527
1 u = 527 ÷ 17 = 31
Number of tourists at the tourist attraction at first
= 1 u
= 31
Answer(s): 31
