Liz has three pieces of strings, 18cm, 20cm and 24 cm long. She wants to cut them up to produce smaller pieces of string that are all of the same length, with no string left over. Calculate the greatest length, in cm, in which the strings can be cut.
2. Helen is organising a party and she needs party plates and straws.
There are 30 party plates in a pack.
There are 120 straws in a pack.
She needs exactly the same number of plates as straws.
Find the minimum number of each pack she must buy.
A carpenter has two lengths of wood; one is 108cm long and the other is 72cm long. He wants to cut them up to produce smaller pieces of wood to build a shelving unit, so they all need to be the same length, with no wood left over. Calculate the greatest length in which he should the cut the woods.
A school purchases workbook in packs of 25 and textbooks in packs of 15. The school needs exactly the same number of workbooks as textbooks so they can be paired up for the students.
Find the minimum number of each pack that must be bought so that all the books are paired.
Answers
Given : Liz has three pieces of strings, 18cm, 20cm and 24 cm long. She wants to cut them up to produce smaller pieces of string that are all of the same length, with no string left over.
To Find : the greatest length, in cm, in which the strings can be cut.
Solution:
18cm, 20cm and 24 cm long
to Find the greatest length, in cm, in which the strings can be cut. such that all of the same length, with no string left over.
we need to find HCF
18 = 2 * 3 * 3
20 = 2 * 2 * 5
24 = 2 * 2 * 2 * 3
Only common factor in all 3 is 2
Hence the greatest length, in cm, in which the strings can be cut. = 2 cm
please post Question one by one
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