At the park were some adults.
12 of the number of tourists was equal to 3 times the number of locals. When another 64 locals entered and 72 tourists left, the ratio of the number of tourists to the number of locals become 5 : 4. Find the number of locals at the park at first.
| |
Make p the same
(1)x4 = (3) |
Tourists
(1) |
Locals
(2) |
Make p the same
(2)x5 = (4) |
| Before |
24 u |
6 u |
1 u |
5 u |
| Change |
- 288 |
- 72 |
+ 64 |
+ 320 |
| After |
20 p |
5 p |
4 p |
20 p |
12 of the tourists = 3 times of the locals
1x32x3 of the tourists =
3x11x1 of the locals
Make the numerators the same. LCM of 1 and 3 is 3.
36 of the tourists =
31 of the locals
Tourists : Locals = 6 : 1
Make p the same.
(3) = (4)
24 u - 288 = 5 u + 320
24 u - 5 u = 320 + 288
19 u = 608
1 u = 608 ÷ 19 = 32
Number of locals at the park at first
= 1 u
= 32
Answer(s): 32
