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Question
primary 5 | Maths
| Rate & Ratio
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Pls help
Total = 10 units
Second ratio is 4 : 3
Total = 7 units
Total number of students didn't change. So the total number of units for both cases should be the same.
Make the total number of units the same.
10 units x 7 = 70 units
7 units x 10 = 70 units
Multiply first ratio by 7,
7 : 3 = 49 : 21
Multiply second ratio by 10,
4 : 3 = 40 : 30
49 - 40 = 9
21 + 9 = 30
So 9 units of students moved to Tampines from Bedok.
9 units = 108 students
1 unit = 108 students ÷ 9 = 12 students
Number of students who lived on Tampines in the end
= 30 units
= 12 students x 30
= 360 students
T: 3u
B: 4u
at first
T: 3u - 108
B: 4u + 108
ratio = B : T = 7 : 3
3 x (4u + 108) = 7 x (3u - 108)
12u + 3x108 = 21u - 7x108
u = 10x108/(21-12) = 120
in the end,
T has 3x120 = 360 students
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