Shipra has 36 coins in her piggy bank. It contains some 1 rupee coins, 2 rupees coins and 5 rupees coins. The total amount is Rs.88. Find the number of coins in each
Answers
8x = 88
x = 11
so.....
1 Rs. = 11
2.Rs = 22
5Rs = 55
Given:
Shipra has 36 coins.
It has Rs 1, Rs 2 and Rs 5 coins.
Total amount is Rs 88.
To FInd:
The number of each coin
Solution:
There are 3 unknown variables but there can only be 2 equations, which makes it not solvable.
Therefore, the next logical method would be to solve by "Guess and Check".
Guess and Check - Try one
Rational : Since there are 36 coins, we shall find the average number of coins per denomination.
36 ÷ 3 = 12
Assumed 12 coins of Rs 1, 12 coins of Rs 2 and 12 coins of Rs 5:
Total value of Rs 1 = 12 x 1 = Rs 12
Total value of Rs 2 = 12 x 2 = Rs 24
Total value of Rs 5 = 12 x 5 = Rs 60
Total coins = 12 + 12 + 12 = 36 coins
Total Value = 12 + 24 + 60 = Rs 96
Conclusion : Wrong, the value was too much
Guess and Check - Try Two:
Rational : Since the value was too much, we will need to reduce the bigger value amount and increase the smaller value amount.
Assumed 12 coins of Rs 1, 16 coins of Rs 2 and 8 coins of Rs 5:
Total value of Rs 1 = 12 x 1 = Rs 12
Total value of Rs 2 = 16 x 2 = Rs 32
Total value of Rs 5 = 8 x 5 = Rs 40
Total coins = 12 + 16 + 8 = 36 coins
Total Value = 12 + 32 + 40 = Rs 84
Conclusion : Wrong, the value was too little
Guess and Check - Try Three:
Rational : Since the value was too little, we will need to reduce the smaller value amount and increase the bigger value amount. We are only Rs 4 short, we will redistribute the 2 smaller value coins.
Assumed 8 coins of Rs 1, 20 coins of Rs 2 and 8 coins of Rs 5:
Total value of Rs 1 = 8 x 1 = Rs 8
Total value of Rs 2 = 20 x 2 = Rs 40
Total value of Rs 5 = 8 x 5 = Rs 40
Total coins = 8 + 20 + 8 = 36 coins
Total Value = 8 + 40 + 40 = Rs 88
Conclusion : Correct, the total value is Rs 88. And there are a total of 36 coins.
Answer: Rs 1 coins = 8 pcs. Rs 2 coins = 20 pcs. Rs 5 coins = 8 pcs.