Ron has $1.35 in dimes and quarters in his pocket. If there are twice
as many dimes in his pocket as quarters, how many quarters does he have?
we are told that
d = 2q
10d+25q = 135
now just solve for q
10(2q)+25q = 135
45q = 135
q = 3
To find out how many quarters Ron has, we need to set up a system of equations based on the given information.
Let's assume that the number of quarters Ron has is 'q'. Since there are twice as many dimes as quarters, the number of dimes can be represented as '2q'.
Now, let's determine the value of the coins. Since a dime is worth $0.10 and a quarter is worth $0.25, we can write the equation:
0.10(2q) + 0.25q = 1.35
Simplifying the equation:
0.20q + 0.25q = 1.35
0.45q = 1.35
q = 1.35 / 0.45
q = 3
Therefore, Ron has 3 quarters.