1MA0 Higher November 2016 Paper 2 Q16
16 Julie and Liam write down the same number.
Julie multiplies the number by 5 and then adds 4 to the result.
She writes down her answer.
Liam subtracts the number from 10
He writes down his answer.
Julie’s answer is two thirds of Liam’s answer.
Work out the number that Julie and Liam started with.
You must show your working. (5)
| Answer | Mark | Notes |
|---|---|---|
| \(\dfrac{8}{17}\) | 5 | M1 for \(5x + 4\) or \(10 - x\) M1 (dep) for \(\text{``}5x + 4\text{''} = \dfrac{2}{3}\text{``}(10 - x)\text{''}\) M1 for expanding the bracket or multiplying both sides by 3 in an equation of the form \((ax + b) = \dfrac{2}{3}(cx + d)\) A1 for correct equation with terms in \(x\) and number terms isolated, eg \(15x + 2x = 20 - 12\) or \(5x + \dfrac{2x}{3} = \dfrac{20}{3} - 4\) A1 for \(\dfrac{8}{17}\) oe accept 0.47(0588...) |