Question

rajani finds some dimes and quarters in her change purse. how much money (in dollars) does she have if she has 4 dimes and 5 quarters? how much money (in dollars) does she have if she has ( x ) dimes and ( y ) quarters?

answer attempt 1 out of 2

total value, 4 dimes and 5 quarters (dollars):

total value, ( x ) dimes and ( y ) quarters (dollars):

Explanation:

Step1: Define value of each coin

1 dime = $\$0.10$, 1 quarter = $\$0.25$

Step2: Calculate value for 4 dimes

$4 \times 0.10 = 0.40$

Step3: Calculate value for 5 quarters

$5 \times 0.25 = 1.25$

Step4: Sum for fixed coin count

$0.40 + 1.25 = 1.65$

Step5: Generalize for x, y coins

Total value = $0.10x + 0.25y$

Answer:

Total value, 4 dimes and 5 quarters (dollars): $1.65$
Total value, $x$ dimes and $y$ quarters (dollars): $0.10x + 0.25y$