At the park were some adults.
12 of the number of tourists was equal to 4 times the number of locals. When another 48 locals entered and 64 tourists left, the ratio of the number of tourists to the number of locals become 8 : 3. Find the number of tourists at the park at first.
| |
Make p the same
(1)x3 = (3) |
Tourists
(1) |
Locals
(2) |
Make p the same
(2)x8 = (4) |
| Before |
24 u |
8 u |
1 u |
8 u |
| Change |
- 192 |
- 64 |
+ 48 |
+ 384 |
| After |
24 p |
8 p |
3 p |
24 p |
12 of the tourists = 4 times of the locals
1x42x4 of the tourists =
4x11x1 of the locals
Make the numerators the same. LCM of 1 and 4 is 4.
48 of the tourists =
41 of the locals
Tourists : Locals = 8 : 1
Make p the same.
(3) = (4)
24 u - 192 = 8 u + 384
24 u - 8 u = 384 + 192
16 u = 576
1 u = 576 ÷ 16 = 36
Number of tourists at the park at first
= 8 u
= 8 x 36
= 288
Answer(s): 288
