a purse contain 2,5and 10 coins inthe ratio of 5:6:4.if the total value of 5 coins is more than the total value of 2 coins then find the total amount
Answers
Let the number of ₹5 coin be x nos.and the number of ₹2 coins be y nos.
There are 40 coins in a bag, consisting of Rs. 5 and Rs. 2 coins. Accordingly
x + y = 40
x = 40 - y….Eq..1
If the total amount is Rs. 140,
The value of ₹5 coins is 5x and the value if ₹2 coins is 2y
5x + 2y = 140….Eq..2
Substituting the value of x from Eq..1 to Eq..2
5 (40 - y) + 2y = 140
200 - 5y + 2y = 140
--5y + 2y = 140 - 200
--3y = —60
y = 60/3
y = 20
Thus the number if ₹2 coins are 20 nos.
Substituting the value of y in Eq..1 to derive value of x
x = 40 - y
x = 40 - 20
x = 20
There are 20 numbers ₹5 coins
Answer: there are 20 numbers ₹5 coins and 20 numbers ₹2 coins
Checking the correctness of answer by substituting the values of x and y in the Eq.. 2
5x + 2y = 140
5 × 20 + 2 × 20 = 140
100 + 40 = 140
140 = 140