YOU HAVE 72 RED BEADS, 120 WHITE BEADS AND 192 BLUE BEADS.
YOU WANT TO USE ALL THE BEADS TO MAKE BRACELETS THAT HAVE RED,WHITE AND BLUE BEADS ON EACH.
WHAT IS THE LARGEST NUMBER OF BRACELETS YOU CAN MAKE?
Answers
Answer:
1 bracelet consists of 48 beads. So 72+120+192=384. So 384 divided by 8=48. Hence, 8 bracelets can be made with 48 beads each.
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Answer:
Observing this data, HCF of 72, 192 & 120 will be 24. Therefore, total 24 bracelets can be made from given beads.
Step-by-step explanation:
In a question like this, you are trying to find the Highest Common Denominator, or HCF. This can be done manually, by finding all the factors of 42
(
1
,
2
,
3
,
6
,
7
,
14
,
21
,
42
)
, all the factors of 72
(
1
,
2
,
3
,
4
,
6
,
8
,
9
,
12
,
18
,
24
,
36
,
72
)
, and comparing them to see that their HCF is
6
. Or, it can be done by dividing both numbers,
=
72
42
, simplifying the fraction
=
12
7
, then dividing the starting number with the new simplifiied number, remembering always to divide numerator with numerator and denominator with denominator.
72
12
=
6
or
42
7
=
6
This process works with any two numbers which you want to find the HCF of, and can be simplified into this rule:
If
a
=
any number,
b
=
any number and
c
d
is the simplified fraction of
a
b
,
The HCF
=
a
c
or
=
b
d
I hope that helped!