Carl collects coins compulsively, but he only likes quarters and dimes. Carl currently has 125 coins for a total of $26.00. How many of each coin does Carl have? What are the two equations? *2 answers* 0.25x + 0.1y = 125

0.25x + 0.1y = 26

0.1x + 0.25 = 26

x + y = 125

x + y = 26

Carl has 35 dimes and 90 quarters

Step-by-step explanation:

We need to find the two equations that represents the total amount of coins Carl has that makes $26.00 and the number of quarters and dimes.Let the number of quarters be q and the number of dimes be d

Total number of coins is 125;

Hence;

q + d = 125

The total value of quarters present = q * 0.25 = 0.25q

The total value of dimes present = d * 0.1 = 0.1d

Adding both gives the total

0.25q + 0.1d =26

So we need to solve both equations simultaneously;

From i,

q = 125 – d

Substitute this into ii

0.25(125-d) + 0.1d = 26

31.25 -0.25d + 0.1d = 26

31.25 -26 = 0.25d -0.1d

5.25 = 0.15d

d = 5.25/0.15

d = 35

Recall; q = 125 – d = 125 -35 = 90

The number of dimes is 35 and the number of quarters is 90.

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