Higher June 2017 Paper 1 Q11
11 Billy wants to buy these tickets for a show.
- 4 adult tickets at £15 each
- 2 child tickets at £10 each
A 10% booking fee is added to the ticket price.
3% is then added for paying by credit card.
Work out the total charge for these tickets when paying by credit card. [5 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(4 \times 15\) or 60 or \(2 \times 10\) or 20 or 80 | M1 | oe |
| \(\dfrac{10}{100}\) \(\times\) their 80 or 8 or 1.1 and working for first M1 seen | M1dep | oe \(\dfrac{10}{100}\) \(\times\) their 60 or 6 or 66 or \(\dfrac{10}{100}\) \(\times\) their 20 or 2 or 22 |
| their 80 \(+\) their 8 or \(1.1 \times\) their 80 or 88 | M1dep | oe their 60 \(+\) their 6 \(+\) their 20 \(+\) their 2 or \(1.1 \times\) their 60 \(+\ 1.1 \times\) their 20 or their 66 \(+\) their 22 |
| \(0.03 \times\) their 88 or 2.64 or their 88 \(\times\ 1.03\) | M1dep | oe |
| 90.64(p) | A1 | |
| Alternative method 2 | ||
| \(\dfrac{10}{100}\) \(\times\ 15\) or 1.5(0) and \(\dfrac{10}{100}\) \(\times\ 10\) or 1 or 1.1 seen | M1 | oe |
| 15 \(+\) their 1.5(0) or \(15 \times 1.1\) or 16.5(0) and 10 \(+\) their 1 or \(10 \times 1.1\) or 11 | M1dep | oe 27.5(0) implies M2 |
| their 16.5(0) \(\times\ 0.03\) or 0.495 and their 11 \(\times\ 0.03\) or 0.33 or their 16.5(0) \(\times\ 1.03\) or 16.995 and their 11 \(\times\ 1.03\) or 11.33 | M1dep | oe \(4 \times\) their 16.5(0) \(+\ 2 \times\) their 11 or their 66 \(+\) their 22 or 88 |
| their 0.495 \(\times\ 4\ +\) their 0.33 \(\times\ 2\) or \(1.98 + 0.66\) or 2.64 or their 16.995 \(\times\ 4\) or 67.98 and their 11.33 \(\times\ 2\) or 22.66 | M1dep | oe \(0.03 \times\) their 88 or 2.64 or their 88 \(\times\ 1.03\) |
| 90.64(p) | A1 | |
| Alternative method 3 | ||
| \(4 \times 15\) or 60 or \(2 \times 10\) or 20 or 80 | M1 | oe |
| \(\dfrac{10}{100}\) \(\times\) their 80 or 8 or \(\dfrac{13}{100}\) \(\times\) their 80 or 10.4(0) or 1.13 and working for first M1 seen | M1dep | oe \(\dfrac{13}{100}\) \(\times\) their 60 or 7.8(0) or \(\dfrac{13}{100}\) \(\times\) their 20 or 2.6(0) |
| their 80 \(+\) their 10.4(0) or \(1.13 \times 80\) or 90.4(0) or \(0.03 \times\) their 8 or 0.24 | M1dep | oe 60 \(+\) their 7.8(0) \(+\) 20 \(+\) their 2.6(0) or 67.8(0) \(+\) 22.6(0) |
| their 80 \(+\) their 10.4(0) or \(1.13 \times 80\) or 90.4(0) and \(0.03 \times\) their 8 or 0.24 | M1dep | oe |
| 90.64(p) | A1 | |