Question

A total of 22 dimes and nickels have a value of $1.90. If d represents the number of dimes and n represents the number of nickels, which system of equations models this situation?

Answer 1

Answer:
d+n= 22 and 0.1d + 0.05n = 1.9
Explanation:
Let d represents the number of dimes and n
represents the number of nickel.
Total of dimes and nickels = 22
Therefore, d + n = 22
1 dime = 10 cents = 0.1
1 nickel = 5 cents = 0.05
Value of 22 dimes and nickel = $1.90
So, 0.1d + 0.05n = 1.9
Hence, d + n = 22 and 0.1d + 0.05n = 1.9
models the given situation.