At the theme park were some adults.
12 of the number of locals was equal to 4 times the number of tourists. When another 48 tourists entered and 80 locals left, the ratio of the number of locals to the number of tourists become 8 : 3. Find the number of tourists at the theme park at first.
| |
Make p the same
(1)x3 = (3) |
Locals
(1) |
Tourists
(2) |
Make p the same
(2)x8 = (4) |
| Before |
24 u |
8 u |
1 u |
8 u |
| Change |
- 240 |
- 80 |
+ 48 |
+ 384 |
| After |
24 p |
8 p |
3 p |
24 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 - 240 = 8 u + 384
24 u - 8 u = 384 + 240
16 u = 624
1 u = 624 ÷ 16 = 39
Number of tourists at the theme park at first
= 1 u
= 39
Answer(s): 39
