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primary 6 | Maths
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Ratio
This gives you an equation:
D x 1/3 + 36 = M x 3/5
Multiply all sides by 15 to remove denominators:
5D + 540 = 9M
Meanwhile, the total number of fruits is 130, means
D + M = 130
If you multiply all by 5,
5D + 5M = 650
Now you have 2 equations, and notice both have the same number (5D). If you subtract the second equation from the first equation (right side - right side = left side - left side), you get:
5D + 540 - 5D - 5M = 9M - 650
Simplify: 1190 = 14M
M = 85
Now that you figure out what M is, you can find D to be 130-85 = 45
Since the question asks for the fruits left, it would be
1/3 x 45 + 3/5 x 85
= 15+51
= 66
Check through each step slowly and make sure you understand the methods. Hope this helps!
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