The discussion revolves around a problem involving the number of dimes and quarters Ginger has, given the total amount of money. Participants explore the setup of equations based on the values of the coins and attempt to solve for the number of dimes.
There is no consensus on the initial setup of the equations, as one participant believes it contains a typo while others follow through with the calculations based on the corrected equation. Multiple approaches to solving the problem are presented, but the discussion remains focused on the calculations rather than reaching a definitive conclusion.
Participants rely on different interpretations of the initial equations, and there is a lack of clarity on whether the initial setup was indeed a typo. The discussion includes various methods of solving the equations without resolving the initial disagreement.
RTCNTC said:Ginger has 15 quarters and dimes. The total is $2.55. How many dimes does she have?
Let q = quarters
Let d = dimes
0.15q +0.10d = 2.55
q + d = 15
Is this the correct set up?
MarkFL said:I would bet big money that it's just a typo, but what you want is:
0.25q +0.10d = 2.55
q + d = 15
But otherwise, your methodology is spot on. :D
RTCNTC said:Cool. Take a look at the other question about to be posted.
RTCNTC said:8 + 7 = 15
7(0.25) = 1.75
2.55 - 1.75 = 0.80
0.80/0.10 = 8
Answer: 8 dimes
Correct?
MarkFL said:Yes, when I did what I suggested above, I got:
$$5q+2d=51$$
$$-5q-5d=-75$$
Adding the equations, we get:
$$-3d=-24$$
$$d=8\quad\checkmark$$