Foundation November 2017 Paper 1 Q8
8. Mary owns a café.
Mary’s lunch menu is for two courses, a main course and a dessert.
| Lunch Menu – 2 courses for £10 | |
|---|---|
| Main Courses | Desserts |
| Fish Curry Pizza Salad | Apple pie Toffee pudding |
How many different two-course meals is it possible to order for lunch?
You must show all your working. [2]
Mary says,
‘If a customer has a dessert, the probability they choose apple pie is \(\frac{1}{2}\) because there are 2 desserts.’
Explain why Mary may not be correct. [1]
Mary also serves drinks.
| Drinks Menu | |||
|---|---|---|---|
| Hot drinks | Tea or Coffee | per cup | £2 |
| Cold drinks | Juice or Milkshake | per glass | £3 |
One Friday lunchtime, 40% of her customers order a hot drink.
On this Friday lunchtime, Mary has 120 customers.
Each customer orders one drink.
How much money does Mary take from selling drinks? [4]
Mary is thinking about selling smoothies for £1.75 per glass.
The smoothie would cost Mary £1 per glass to make.
How many smoothies would Mary need to sell, to make £15 profit just from selling smoothies? [2]
| Scheme | Marks | Comments | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| (i) 8 | B2 | Not from wrong working B1 for 4 × 2 or equivalent or for a complete list or for a list of at least 6 distinct correct options with a numerical answer or a complete possibility space e.g.
| |||||||||||||||
| (ii) Valid explanation e.g. ‘Half the people may not choose apple pie.’ or ‘Toffee may be more popular than apple.’ or ‘We do not know if they are equally likely to be chosen.’ | E1 |
| Scheme | Marks | Comments |
|---|---|---|
| (i) 60(%) | B1 | Or equivalent fraction or decimal |
| (ii) (40% of 120 =) 48 or (60% of 120 =) 72 | B1 | seen or implied |
| (120 – 48) × 3 + 48 × 2 or equivalent or 72 × 3 + (120 – 72) × 2 or equivalent or | M2 | FT ‘their 48’ or ‘their 72’ (120 – ‘their 48’) × 3 + ‘their 48’ × 2 or ‘their 72’ × 3 + (120 – ‘their 72’) × 2 or M1 for either product in the sum seen or implied ‘their 48’ must be an attempt at finding 40% of 120; ‘their 72’ must be an attempt at finding 60% of 120; if finding 40% of 120 and 60% of 120 independently, ‘their 72’ + ‘their 48’ must total 120. |
| (£) 312(.00) CAO | A1 |
| Scheme | Marks | Comments |
|---|---|---|
| 20 | B2 | B1 for \(\dfrac{15}{0.75}\) or equivalent seen; may be in steps Allow B1 for e.g. repeated addition of 75p to try to make £15 |
| (10) |