At the stadium were some adults.
14 of the number of locals was equal to 2 times the number of tourists. When another 50 tourists entered and 48 locals left, the ratio of the number of locals to the number of tourists become 8 : 3. Find the number of locals at the stadium 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 |
- 144 |
- 48 |
+ 50 |
+ 400 |
| After |
24 p |
8 p |
3 p |
24 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)
24 u - 144 = 8 u + 400
24 u - 8 u = 400 + 144
16 u = 544
1 u = 544 ÷ 16 = 34
Number of locals at the stadium at first
= 8 u
= 8 x 34
= 272
Answer(s): 272
