Foundation June 2019 Paper 2 Q18
18
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 (eg soi by 200 or 170) 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 AND M2 for complete method to increase their valid ticket price or combination by 2% or M1 for complete method to find 2% of their valid ticket price or combination | 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) Valid ticket price combinations are eg 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 eg 170, 34, 68, 102, 136 M1 may be implied by 30, 6, 12, 18, 24 May be from an original “valid ticket price or combination” or from a calculated sale price. The 2% increase and the 15% decrease can be done in either order but if the 15% decrease is done first with the original price then the 2% increase must be done with their sale price and vice versa |