20762_Problem_solving_Year_5_Number_and_place_value_2

SOLUTIONS
Note: Many solutions are written statements rather than just numbers. This is to encourage teachers and
students to solve problems in this way.
AT THE DELICATESSEN............................................ page 34
1.
boxes of
16 tins
number of
tins
number of
bottles
boxes of 12
bottles
1 16 100 not possible
total boxes
2 32 84 7 9 too many
3 64 52 not possible
4 64 52 not possible
5 80 36 3 8
3 boxes of bottles were unpacked
2. (a) $15 profit per bottle
(b) 7 bottles
(c) when February has 4 weeks, $ ??? profit
3. (a) 3 tubs cost $28.50, loose fetta costs $29.40 3 jars
are cheaper
(b) Profit on 1 kg of fetta is $9.20
There is $128.80 more profit per week in the summer
In Australia, both summer and winter are
approximately 14 weeks, so the difference in profit
is about $1800
THE SUGAR MILL ...................................................... page 35
1. 816 bins (815 full, 1 part full)
2. maximum number of trains 7 (with 135 bins)
minimum number of trains 6 (with 145 bins)
3. Harvesting time is 7 months.
Approximately 2120 tonnes per month and 1060 tonnes
per farm
4. (a) 4850 bins were used
(b) Between 34 trains (if all have 145 bins) and 36 trains
(if all have 135 bins)
5. 353 truck loads were needed
68 trips with 4 trucks, and 1 trip with 1 truck
64
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