17. A money box contains one-rupee and two-rupee coins in the ratio 5:6. If the total
value of the coins in the money box is 85, find the number of two-rupee coins.
Answers
Step-by-step explanation:
Given :-
A money box contains one-rupee and two-rupee coins in the ratio 5:6. the total value of the coins in the money box is 85.
To find :-
Find the number of two-rupee coins.?
Solution :-
The ratio of one rupee to two rupee coins in the money box = 5:6
Let they be 5X and 6X
The number of one rupee coins = 5X
The number of two rupee coins = 6X
Value of "5X" one rupee coins = Rs. 5X
Value of "6X" two rupee coins = 6X×2=Rs. 12X
Total value of coins in the money box
=5X+12X=17X
According to the given problem,
Total number of coins in the money box = 85
=>17X=85
=>X=85/17
=>X=5
then ,5X=5(5)=25
and 6X=6(5)=30
Number of One rupee coins =25
Number of Two rupee coins =30
Answer :-
The number of Two rupee coins in the money box = 30
Check :-
Number of One rupee coins =25
The value of One rupee coins =25×1=Rs. 25
Number of Two rupee coins =30
The value of Two rupee coins =30×2= Rs.60
Total value of the coins = 25+60 = Rs. 85
Verified the given realtions.