1MA0 Higher June 2017 Paper 1 Q14
14 3 kg of potatoes and 4 kg of carrots have a total cost of 440p.
4 kg of potatoes and 3 kg of carrots have a total cost of 470p.
Work out the total cost of 1 kg of potatoes and 1 kg of carrots. (4)
| Answer | Mark | Notes |
|---|---|---|
| 130 | 4 | M1 for setting up two correct equations eg \(3p + 4c = 440\) \(4p + 3c = 470\) M1 for adding the two equations eg \(7p + 7c = 910\) or for a correct method to eliminate one variable (allow one error) M1 for a method to find \(p + c\) eg \(910 \div 7\) or for a complete method to find both \(p\) and \(c\) (\(p = 80\), \(c = 50\)) A1 for 130 or £1.30(p) NB: Allow any letters for variables. Allow a non-algebraic approach eg 7 kg potatoes and 7 kg carrots costs a total of 910 |