For the Yaoshang, Ibellei made a change of Rs 250 into coins of 5 rupee, 2 rupee and 1 rupee. The number of coins of 5 rupee and 2 rupee ;2 rupee and 1 rupee ;are in the ratio of 3:5 and 4 :5,respectively. Find the number of coins of each denomination.
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Answer:
24 of ₹ 5
40 of ₹ 2
and
50 of ₹ 1
Step-by-step explanation:
suppose we start with 20 coins of ₹ 2 because 20 is a multiple of 5 and 4
5 and 4 because these are the numbers in 3:5 and 4:5 corresponding to ₹ 2
so if we have ( 20 coins of ₹ 2
we have 12 of 5
and
25 of 1 rupee coins)
but adding values in this (bracket) we get ₹(5*12+2*20+1*25)
=₹( 60+40+25)
=₹ 125
Double it to get total ₹ 250
so we have
24, 40 and 50 coins of
5, 2 and 1 respectively.
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