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Kitty [74]
4 years ago
12

Joshua used 1/4 of a coil of rope to hold a shelf to the wall, kept 4/9 od the remainder and uses the rest equally to tie 2 parc

els.
(a) What fraction of the rope did Joshua use to tie each parcel? Give your answer as a fraction in it's simplest form.

(b) Joshua had 240 cm of rope at first. How Ong was the rope he used to tie each parcel?
Mathematics
2 answers:
makkiz [27]4 years ago
8 0

Let the length of rope be 1 unit.Given Joshua used \frac{1}{4} of a coil of rope to hold a shelf to the wall.

Remainder rope = 1-\frac{1}{4} =\frac{3}{4}

Joshua kept \frac{4}{9} of the remainder

Rope kept by Joshua =\frac{3}{4} .\frac{4}{9} =\frac{12}{36} =\frac{1}{3}

Rope left =\frac{3}{4} -\frac{1}{3} =\frac{9-4}{12} =\frac{5}{12}

With this Joshua ties two parcels

a) Fraction of rope used to tie each parcel =\frac{5}{12}÷2

=\frac{5}{12} .\frac{1}{2} =\frac{5}{24}

b)Joshua has 240 cm of rope .

Rope used to tie each parcel = 240.\frac{5}{24} =50cm.




Effectus [21]4 years ago
4 0
a)the fraction of rope that joshua used for each parcel is 16 2/3
b)the answer is 16.6 cm





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