Final answer:
To find out how much money Rajani has, we need to determine the value of each coin and then add them together. A dime is worth 10 cents and a quarter is worth 25 cents. If Rajani has 4 dimes and 5 quarters, she would have a total of $1.65.
Step-by-step explanation:
To find out how much money Rajani has, we need to determine the value of each coin and then add them together. The value of a dime is 10 cents and the value of a quarter is 25 cents. So, if Rajani has 4 dimes and 5 quarters, she would have a total of 40 cents from the dimes (4 x 10 = 40) and 125 cents from the quarters (5 x 25 = 125). To convert these amounts to dollars, divide by 100. Therefore, Rajani has 0.40 dollars from the dimes and 1.25 dollars from the quarters. Adding these two amounts together, she has a total of 1.65 dollars.
If Rajani has a number of dimes and a number of quarters represented by 'x' and 'y' respectively, the total value in dollars would be calculated as follows: 0.10x + 0.25y.