Hint
Use the stated units and precision. Divide the relevant total by the sum of the ratio parts, then use the required share.
Worked solution
(a)
Divide the relevant total by the sum of the ratio parts, then use the required share.
\(45\)
Answer: \(45\)
(b)
Divide the relevant total by the sum of the ratio parts, then use the required share.
\(54\)
Answer: \(54\)
(c)
Divide the relevant total by the sum of the ratio parts, then use the required share.
\(\displaystyle \frac{5}{11}\)
Answer: \(\displaystyle \frac{5}{11}\)
Maths4U indicative marking guidance
Maths4U indicative marking guidance, not an official mark scheme. Credit complete valid alternative methods and consequential reasoning. An unexplained result does not earn a method mark.
(a) · 2 marks
- 1 mark: Divide the relevant total by the sum of the ratio parts, then use the required share.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Keep intermediate values exact until the final step.
(b) · 2 marks
- 1 mark: Divide the relevant total by the sum of the ratio parts, then use the required share.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Check the answer against the original conditions.
(c) · 2 marks
- 1 mark: Divide the relevant total by the sum of the ratio parts, then use the required share.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Keep intermediate values exact until the final step.
Total: 6 marks.