AC Lim's answer to Beatrice's Primary 6 Maths Ratio Singapore question.
done
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Unbelievable figure... and results look OK. Hope this helps
Date Posted:
4 years ago
It doesnt even makes sense
His answer is correct.
Oh really? The digit looks....
The digits are merely recurring decimals.
The values can also be expressed as fractions.
The values can also be expressed as fractions.
Paint A : 6 units
Paint B : 5 units
Total : 11 units
Fraction of the paint mixture that is made of Paint A
= 6/11
Fraction of the paint mixture that is made of Paint B
= 5/11
Mass of paint in 50kg mixture that is made of paint A
= 6/11 x 50 kg
= 27 3/11 kg
Mass of paint in 50kg mixture that is made of paint B
= 50 kg - 27 3/11 kg
= 22 8/11 kg
Cost of Paint A
= 27 3/11 kg x $2.50/kg
= $ 68 2/11 (or $68.1818181818181....)
Cost of Paint B
= 22 8/11 kg x $1.40/kg
= $ 31 9/11 (or $31.818181818181....)
Total cost
= $ 68 2/11 + $ 31 9/11
= $100
Paint B : 5 units
Total : 11 units
Fraction of the paint mixture that is made of Paint A
= 6/11
Fraction of the paint mixture that is made of Paint B
= 5/11
Mass of paint in 50kg mixture that is made of paint A
= 6/11 x 50 kg
= 27 3/11 kg
Mass of paint in 50kg mixture that is made of paint B
= 50 kg - 27 3/11 kg
= 22 8/11 kg
Cost of Paint A
= 27 3/11 kg x $2.50/kg
= $ 68 2/11 (or $68.1818181818181....)
Cost of Paint B
= 22 8/11 kg x $1.40/kg
= $ 31 9/11 (or $31.818181818181....)
Total cost
= $ 68 2/11 + $ 31 9/11
= $100
Okok thanks
For every 6 kg of A and 5 kg of B, total cost = 6 x 2.50 + 5 x 1.40
= $22
So, 11 kg of the mixture costs $22.
In a proper mixing and maintaining the same ratio,
1 kg of the mixture costs $2.
So, 50 kg of the mixture costs $100.
= $22
So, 11 kg of the mixture costs $22.
In a proper mixing and maintaining the same ratio,
1 kg of the mixture costs $2.
So, 50 kg of the mixture costs $100.
This method would be less confusing since it avoids fractions altogether. But the student must be able to visualise the obtainment of 11kg