A piggy bank contains Rs 460 in coins of denomination Rs 2, Rs 5, and Rs 10. The number of Rs 5 coins is two times the number of Rs 2 coins. If the total number of coins is 100, find the number of coins in each denomination. (HINT: Let number of Rs 2 coin be x)
Answers
Answered by
2
Answer:
30 2rs,60 5rs,10 10rs
Step-by-step explanation:
30*2=60
60*5=300
10*10=100
total coins=100
total money=460 rs
Answered by
24
Answer:
Let the number of Rs 2 coins = x
Therefore, the numbers of Rs 5 coins = 2x
Since, the total number of coins are 100.
Therefore, the number of Rs 10 coins = 100-(x+2x)
= 100-3x
Total amount = Rs 460
2(x) + 5(2x) + 10(100-3x) = 460
2x + 10x + 1000 - 30x = 460
12x - 30x + 1000 = 460
-18x = 460 - 1000
-18x = -540
x = 30
Therefore, the number of coins of Rs 2 = x = 30
The number of coins of Rs 5 = 2x = 60
The number of coins of Rs 10 = 100 - 3x
= 100- (3 \times 30)100−(3×30)
= 10.
Therefore, there are 30 coins of Rs 2, 60 coins of Rs 5 and 10 coins of Rs 10.
Step-by-step explanation:
Hope this helps.
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