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Question 1156115: A bag contain 100,50,and 40 currency note.the 100 and 50 currency note are in 2:5 ratio and the 50 and 10 currency note are in the ratio 4:9.if the total amount is 11250. Find the number of currency note of each type
Answer by ikleyn(52805) (Show Source):
You can put this solution on YOUR website! .
I will re-phrase the condition in this way:
100- and 50- currency notes are in the ratio 2:5, which is the same as 8:20,
while 50- and 10- currency notes are in the ratio 4:9, which is the same as 20:45.
It means that for every 20 50-currency bills, there are 8 100-currency bills and 45 10-currency bills.
Thus you can group the notes, placing 20 50-currency bills, 8 100-currency bills and 45 40-currency bills in each group.
Then each group is worth 20*50 + 8*100 + 45*10 = 2250 currency units,
and the number of such groups is = 5.
From this point, only one step is needed to get the
ANSWER. There are 5*20 = 100 50- currency bills;
5*8 = 40 100- currency bills, and
5*45 = 225 10- currency bills.
Solved.
I applied here the GROUPING method to solve the problem.
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