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Foundation June 2017 Paper 1 Q8

EduqasFoundationCurrent spec8 marksCombinationsFDPR Mixed Context

8. A vending machine sells drinks.
Each drink costs 50 pence.

A sign on the machine shows the coins that can be used to buy the drinks.

Drinks: 50p

This machine accepts
50p, 20p, 10p and 5p coins only

NO CHANGE IS GIVEN
(a)

Complete the table to show the 13 different ways of paying the exact amount for a drink. [2]

Table with columns 50p, 20p, 10p and 5p and 13 rows headed Number of each coin; some cells are shaded and some numbers are already filled in: row 1: 1, -, -, -; row 2: -, 2, 1, -; row 3: -, 2, -, 2; row 4: -, 1, 3, -; row 5: -, 1, 2, 2; row 6: -, 1, blank, blank; row 7: -, blank, -, blank; row 8: -, -, 5, -; row 9: -, -, 4, blank; rows 10 and 11: -, -, blank, blank; row 12: -, -, 1, 8; row 13: -, -, -, 10
(b)

The machine has a display that shows how much cash has been put in.
The machine resets the display to £0.00 after each drink is taken.

The cash container in the vending machine is emptied every night.
When it was emptied, the cash container contained the following coins:

50p20p10p5p
10 coins15 coins31 coins20 coins
(i)

Work out the greatest possible number of drinks that could have been sold.
You must state any assumption that you make. [5]

Number of drinks sold …………
Assumption made …………

(ii) Comment on the effect that your assumption has had on your solution. [1]
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