MATH SOLVE

2 months ago

Q:
# A woman has 21 total coins in her pocket, all of which are either dimes or quarters. If the total value of her change is $3.90, how many dimes and how many quarters does she have? Write the number of dimes, then the number of quarters separated by a comma.

Accepted Solution

A:

Answer with Step-by-step explanation:Let there be d dimes and q quartersA woman has 21 total coins in her pocket.β d+q=21 Β Β ------(1)1 dime=$ 0.11 quarter=$ 0.25The total value of her change is $3.90β 0.1d+0.25q=3.90Multiplying both sides by 100,we get10d+25q=390 Β Β --------(2)(2)-10Γ(1)10d+25q-10d-10q=390-21015q=180Dividing both sides by 15, we getq=12Putting value of q in (1),we getd=9Hence, Number of dimes=9and number of quarters=12 Write the number of dimes, then the number of quarters separated by a comma.9,12