Ginger has a total of 15 coins consisting of quarters and dimes, amounting to $2.55. The correct equations to represent this scenario are 0.25q + 0.10d = 2.55 and q + d = 15. By applying elimination methods to these equations, it is determined that Ginger has 8 dimes. The calculations confirm that the setup and methodology used to solve for the number of dimes is accurate.
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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:
$$-3d=-24$$
$$d=8\quad\checkmark$$