Question

a bag contain55coins of rs1 and 50p denomination.find the number of each coins of denomination.if the total amt in the bag rs 40?

Answer 1

Heya !!
Here are some hints for solving :-

Let the number of 50p coins = x
Let the number of ₹1 coins = y
So, Total coins = 55
Therefore :-
x + y = 55. .......(eq1)

Total value of coins = ₹40
Therefore :-
Since 50p is 1/2 of ₹1 , so we will take 50p as ₹1/2 .
Equation 2 :-
1/2x + 1y = 40. .........(eq 2)

Solving eq1 and eq2 :- By elimination
x + y = 55
- (1/2x + y = 40).
----------------------------
1/2 x = 15. (eq 3)
----------------------------

Further solving eq 3 :-
1/2x = 10
x = 15×2
★★ x = 30 ★★
Substituting the value of x in eq 1
x + y = 55
30 + y = 55
y = 55-30
★★ y = 25 ★★

Number of 50p coins = 30
Number of ₹1 coins = 25



Hope this helps you
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Kushagra

Answer 2

Answer: There are 30 coins of 50 paise and 25 coins of ₹ 1 in the bag

30+25=55

₹ 1 = ₹25

50 paise = ₹15

₹25+₹15=₹40