1MA0 Foundation November 2015 Paper 1 Q22
22 Milk is sold in \(\tfrac{1}{2}\) pint bottles, in 1 pint bottles and in 2 pint bottles.
One weekend a shop sold 100 bottles of milk.
46 of the bottles were sold on Sunday.
15 of the bottles sold on Sunday were 2 pint bottles.
31 of the bottles sold on Saturday were \(\tfrac{1}{2}\) pint bottles.
22 of the bottles sold were 2 pint bottles.
30 of the bottles sold were 1 pint bottles.
How many 1 pint bottles were sold on Sunday? (4)
| Answer | Mark | Notes |
|---|---|---|
| 14 | 4 | M1 for (total Sat bottles) \(100 - 46\) (= 54) or (total ½ pint bottles) \(100 - 22 - 30\) (= 48) or (total 2 pint bottles on Sat) \(22 - 15\) (= 7) M1 for (total Sun bottles of ½ pint) \(\text{``}48\text{''} - 31\) (= 17) or (total Sat bottles of 1 pint: \(\text{``}54\text{''} - 31 - \text{``}7\text{''}\) (= 16) M1 for \(46 - 15 - \text{``}17\text{''}\) (= 14) or \(30 - \text{``}16\text{''}\) (= 14) A1 cao NB any of the above figures could be shown in a 2-way table |
Working
Working:
| 2p | 1p | ½ p | Tot | |
|---|---|---|---|---|
| Sat | 7 | 16 | (31) | 54 |
| Sun | (15) | 14 | 17 | (46) |
| Tot | (22) | (30) | 48 | (100) |