A company used two machines A and B with different printing rates to print stickers. The graphs below show the total number of stickers printed by each machine from 1 p.m.

- (a)
Tick (True / False / Not Possible to Tell) for each statement.
Statement True False Not Possible to Tell Machine B printed 40 more stickers than machine A in the first hour. Machine A took 30 minutes less than machine B to print 400 stickers. Machines A and B printed a total of 640 stickers in hours. - (b)
Both machines did not change their rates of printing throughout. When machine B had printed 800 stickers, how many stickers had machine A printed?
Ans:
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Worked solution
17(a)
1. Evaluate Statement 1: Machine B printed 40 more stickers than machine A in the first hour.
From the graphs, at 2 p.m. (after 1 hour):
Machine A printed stickers.
Machine B printed stickers.
Difference .
Statement 1 is True.
2. Evaluate Statement 2: Machine A took 30 minutes less than machine B to print 400 stickers.
From the graphs, to print 400 stickers:
Machine B took until 3 p.m., which is hours.
Machine A prints at per hour. Time taken hours ( hours minutes).
Machine A took minutes more than Machine B, not less.
Statement 2 is False.
3. Evaluate Statement 3: Machines A and B printed a total of 640 stickers in $\frac{1}{2}$ hours.
In hour (30 minutes):
Machine A prints stickers.
Machine B prints stickers.
Total stickers.
.
Statement 3 is False.
Statement 1: True
Statement 2: False
Statement 3: False
17(b)
1. Determine the time taken for machine B to print 800 stickers
From Graph 2, machine B prints stickers at
Time taken from to is hours.
2. Calculate the number of stickers machine A prints in the same time
From Graph 1, machine A prints stickers per hour.
In hours, machine A prints stickers.
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