210 Unit 5 Advanced problem solving
5 Fatima is making a quilt. The overall size is
1.7 m × 2.0 m. It will have a pattern of 6 × 5
patchwork squares in the middle and an
equal border all the way around as shown.
What size should the patchwork
squares be?
6 Bill, Harry and Fred run a gardening
business. Bill pays all the annual fixed
costs (insurance, telephone line rental,
etc.) by instalments, which amount to
$400 per week. Harry buys the materials
for any job they do. Fred collects the
payment for jobs. They split all profits
evenly and settle up after every job
is completed. They have just done a
landscaping and re-fencing job for
Mrs Keane that took the three of them
exactly two weeks. Materials cost $1400
and Mrs Keane paid Fred $4900.
How much does Fred owe Bill and
Harry?
Answers and comments are on pages 326–27.