A factory production line makes 275 thousand cans of drink in 5 hours. How many hours would it take for this production line to make 165 thousand cans of the same drink? You may assume each can is the same size.
Terry thinks the answer is 3 hours.
Is Terry correct?
Yes ☐ No ☐
Show how you decide. [2]
Mark scheme (a)
Scheme
Marks
Comments
Valid explanation e.g. ‘He should have divided not subtracted.’ or ‘The correct answer is 5.’ or ‘He should have worked out 30 ÷ 6’
E1
Must not contain incorrect statements
Mark scheme (b)
Scheme
Marks
Comments
275 (000) ÷ 5 = 55 (000) and
55 (000) × 3 = 165 (000) or 165(000) ÷ 3 = 55(000) or 165(000) ÷ 55(000) = 3
AND Yes indicated or implied
B2
May be in one calculation e.g. \(\dfrac{165}{275} \times 5 = \dfrac{165}{55} = 3\) or \(\dfrac{165}{275} \times 5 = \dfrac{33}{55} \times 5 = 3\)
B1 for a partially correct solution e.g. 275(000) ÷ 5 = 55(000) or 165(000) ÷ 3 = 55(000) or 55(000) seen or \(\dfrac{165}{275} \times 5\) or 275(000) ÷ 5 × 3; may be in stages
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