1MA0 Higher June 2017 Paper 2 Q10
10 Gemma has the same number of sweets as Betty.
Gemma gives 24 of her sweets to Betty.
Betty now has 5 times as many sweets as Gemma.
Work out the total number of sweets that Gemma and Betty have. (4)
| Answer | Mark | Notes |
|---|---|---|
| 72 | 4 | M1 for \(\text{``}x\text{''} + 24\) or \(\text{``}x\text{''} - 24\) or for \(\text{``}g\text{''}\) and \(5\text{``}g\text{''}\) M1 for forming an appropriate equation eg \(x + 24 = 5(x - 24)\) or for \((5g - g) \div 2 = 24\) or \(g = 12\) M1 for correct operations to isolate \(x\) terms and non-\(x\) terms in an equation of the form \(ax + b = cx + d\) or \(ax + b = c(x + d)\) or \(x = 36\) or for \(6 \times \text{``}12\text{''}\) oe A1 cao |