Higher June 2019 Paper 5 Q7
7 Adam buys some theatre tickets in a sale.
The normal prices are:
£80 for each adult
£40 for each child.
In the sale, the prices are reduced by 15%.
Adam buys 2 adult tickets and 1 child ticket at the sale price.
A 2% booking fee is then added to the total cost of the tickets.
Calculate the total amount that Adam must pay. [6]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 173.4[0] | 6 | M1 for evidence at some stage of intention to find the total ticket cost of 2 adults + 1 child (e.g. soi by 200 or 170) | This may be at the start or later if calculating individual ticket prices and payments even if errors in the prices Working with just an individual ticket price will be M2M2max) |
| AND M2 for complete method to reduce any valid ticket price or combination by 15% (eg full attempt at 85% or 100% – 15%) isw or M1 for complete method to find 15% of a valid ticket price or combination isw | Valid ticket price combinations are e.g. 40, 80, 120, 160, 200 “Complete method” means it would lead to a correct answer if not for arithmetic slips. M2 may be implied by e.g. 170, 34, 68, 102, 136 M1 may be implied by e.g. 30, 6, 12, 18, 24 | ||
| AND M2 for complete method to increase their ticket cost by 2% or M1 for complete method to find 2% of their ticket cost | May be from an original “valid ticket price or combination” or from a calculated sale price. The 2% increase and 15% decrease can be done in either order but if the 15% decrease is done first with the original price the 2% increase must be done with their sale price and vice versa | ||