you have 46 coins consisting of pennies, dimes and quarters. The number of pennies is equal to the number of dimes, and the total value of the coins is $5.26. How many of each denomination of coins do you have.

Question

radar · Answer

Let x = then number of pennies  and number of dimes (as they are equal)
Then 46-2x would equal the number of quarters.
Now to the value:  x = the value of the pennies, 10x =value of dimes and 25(46-2x) = value of the quarters.  This value sum amounts to $5.26
x +10x + 25(46-2x) = 526
11x + 1150 - 50x = 526
-39x=-624
x=16     16 pennies, 16 dimes
46-2x=46-32=14      14 quarters,   number of coins =16+16+14 = 46   Good
total value is 16 + 160 + 350 =526 cents or $5.26 That is good too.

radar · Answer

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