Nickels and dimes

Bob has a handful of nickels and dimes worth $2.45. How many dimes are there if there are 4 more nickels than dimes?

Hint: A nickel is worth 5 cents, and a dime is worth 10 cents. So, one dime is worth the same as two nickels.

Correct answer:

a =  15

Step-by-step explanation:

0.10a+0.05b=2.45 b=a+4  0.10 a+0.05 b=2.45 b=a+4  0.1a+0.05b=2.45 ab=4  Pivot:Row1Row2 ab=4 0.1a+0.05b=2.45  Row20.1 Row1Row2 ab=4 0.15b=2.85  b=0.152.85=19 a=4+b=4+19=15  a=15 b=19



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