Here is another question from
Kiasuparents on Ratio AGAIN! It seems ratio is really a headache for many
students.
A, B and
C shared 360 cards. If A gives 10% of her cards to B and in turn B gives 2/7 of
his cards to C, the ratio of A's cards to B's cards to C's cards will be 1:3:4.
How many cards did B have at first ?
Solution:
Ratio in
the end -> A : B : C = 1 : 3 : 4
Total 8u -> 360
1u -> 45
in the end, A -> 45, B -> 135, C -> 180
B gave 2/7 to C, so left 5units
5u -> 135
1u -> 27
After A gave 10% to B, B has 7u -> 7x27 = 189
For A, left 90%, 90% -> 45, 10% -> 5 (A gave 5 cards to B)
No. of cards B had at first: 189 - 5 = 184
Note:
Total 8u -> 360
1u -> 45
in the end, A -> 45, B -> 135, C -> 180
B gave 2/7 to C, so left 5units
5u -> 135
1u -> 27
After A gave 10% to B, B has 7u -> 7x27 = 189
For A, left 90%, 90% -> 45, 10% -> 5 (A gave 5 cards to B)
No. of cards B had at first: 189 - 5 = 184
Note:
At first,
A had 50, B had 184, C had 126
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