At the park were some adults.
12 of the number of tourists was equal to 4 times the number of locals. When another 22 locals entered and 58 tourists left, the ratio of the number of tourists to the number of locals become 7 : 2. Find the number of tourists at the park at first.
| |
Make p the same
(1)x2 = (3) |
Tourists
(1) |
Locals
(2) |
Make p the same
(2)x7 = (4) |
| Before |
16 u |
8 u |
1 u |
7 u |
| Change |
- 116 |
- 58 |
+ 22 |
+ 154 |
| After |
14 p |
7 p |
2 p |
14 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)
16 u - 116 = 7 u + 154
16 u - 7 u = 154 + 116
9 u = 270
1 u = 270 ÷ 9 = 30
Number of tourists at the park at first
= 8 u
= 8 x 30
= 240
Answer(s): 240
