Anuj has an equal number of two-rupee and five-rupee coins. He has also some one-rupee coins. If the total number of coins is 40 and their value is Rs120. How many five-rupee and two-rupee coins does he have?
Answers
Step-by-step explanation:
Given :-
Anuj has an equal number of two-rupee and five-rupee coins. He has also some one-rupee coins. If the total number of coins is 40 and their value is Rs120.
To find :-
How many five-rupee and two-rupee coins does he have?
Solution :-
Let the number of 2 rupee coins be X
Then the number of 5 rupee coins = X
Let the number of 1 rupee coins be Y
Given that
Total number of coins = 40
=> X+X+Y = 40
=> 2X+Y = 40
=> Y = 40-2X ---------(1)
and
Given that
Total value of all coins = Rs. 120
=> (2×X)+(5×X)+(1×Y) = 120
=> 2X+5X+Y = 120
=> 7X+Y = 120
=> 7X+40-2X = 120
=> 5X+40 = 120
=> 5X = 120-40
=> 5X = 80
=> X = 80/5
=> X = 16
On Substituting the value of X in (1) then
Y = 40-2(16)
=> Y = 40-32
=> Y = 8
Therefore, X = 16 and Y = 8
Answer:-
Number of 2 rupee coins = 16
Number of 5 rupee coins = 16
Number of 1 rupee coins = 8
Check:-
Number of 2 rupee coins = 16
Total value = 2×16 = 32
Number of 5 rupee coins = 16
Total value = 5×16 = 80
Number of 1 rupee coins = 8
Total value = 1×8 = 8
Total coins = 16+16+8 = 40
Total value = 32+80+8 = 120
Verified the given relations in the given problem
Answer:
two and five rupees coins are 16,16
Step-by-step explanation:
this is answer please mark me as brainleist and please started to following me to know more answer
please follow