In a purse, there are 2 and 5 coins in the ratio of 3: 2. The total
amount in the purse is 128. Find the number of 2 and 5 coins.
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Answer:
16 and 19
Step-by-step explanation:
Let no. of coins of 2 rupees be X
no. of coins of 5 rupees be y
Total no. of 2 rupees coins =2x
Total no. of 5 rupees coins=5y
According to the first condition
2x/5y=3/2
4x=15y
4x-5y=0
According to the second condition
2x+5y=128
Adding both equation
4x-5y=0
+2x+5y=128
__________
8x=128
X=128/8
x=16
Substituting value of X in equation 2
2x+5y=128
2(16)+5y=128
32+5y=128
5y=128-33
5y=95
y=95/5
y=19
No. of two rupees coins =X=16
No. of five rupees coins =y=19
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