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?

theres an image

Answer 1

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.