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2 votes
In a bookstore, 60 identical books occupy a length

of 1.5 m on a shelf. Find
(i) the length occupied by 50 such books on
a shelf,
(ii) the number of such books needed to completely
occupy a shelf that is 80 cm long.​

2 Answers

3 votes

Answer:

i) 1.25m

ii) 32 books

Step-by-step explanation:

60 identical books occupies = length of 1.5m

(i) the length occupied by 50 such books on

a shelf,

If:

60 books = 1.5m

50 books = y m

60 × ym = 1.5 × 50

ym = 1.5 × 50/60

= 1.25 m

Therefore, 50 of such books occupies a length of 1.25m

(ii) the number of such books needed to completely

occupy a shelf that is 80 cm long.​

100 cm = 1m

80 cm = x m

Cross Multiply

xm = 80/100

= 0.8 m

If : 1.5 m = 60 books

0.8 m = y books

Cross Multiply

= 1.5m × y books = 60 books × 0.8m

y books = 60 books × 0.8m/1.5m

y books = 32 books

Therefore, 32 books occupies a shelf that is 80 cm or 0.8 m long

User Jonnydee
by
5.2k points
5 votes

Answer:

i) 1.25m

ii) 32 books

Explanation:

60 identical books occupies = length of 1.5m

(i) the length occupied by 50 such books on

a shelf,

If:

60 books = 1.5m

50 books = y m

60 × ym = 1.5 × 50

ym = 1.5 × 50/60

= 1.25 m

Therefore, 50 of such books occupies a length of 1.25m

(ii) the number of such books needed to completely

occupy a shelf that is 80 cm long.​

100 cm = 1m

80 cm = x m

Cross Multiply

xm = 80/100

= 0.8 m

If : 1.5 m = 60 books

0.8 m = y books

Cross Multiply

= 1.5m × y books = 60 books × 0.8m

y books = 60 books × 0.8m/1.5m

y books = 32 books

Therefore, 32 books occupies a shelf that is 80 cm or 0.8 m long

User Gjohn
by
5.9k points