At the bird park were some adults.
14 of the number of locals was equal to 2 times the number of tourists. When another 23 tourists entered and 59 locals left, the ratio of the number of locals to the number of tourists become 7 : 2. Find the number of tourists at the bird park at first.
| |
Make p the same
(1)x2 = (3) |
Locals
(1) |
Tourists
(2) |
Make p the same
(2)x7 = (4) |
| Before |
16 u |
8 u |
1 u |
7 u |
| Change |
- 118 |
- 59 |
+ 23 |
+ 161 |
| After |
14 p |
7 p |
2 p |
14 p |
14 of the locals = 2 times of the tourists
1x24x2 of the locals =
2x11x1 of the tourists
Make the numerators the same. LCM of 1 and 2 is 2.
28 of the locals =
21 of the tourists
Locals : Tourists = 8 : 1
Make p the same.
(3) = (4)
16 u - 118 = 7 u + 161
16 u - 7 u = 161 + 118
9 u = 279
1 u = 279 ÷ 9 = 31
Number of tourists at the bird park at first
= 1 u
= 31
Answer(s): 31
