Question

A piggy bank contains $5.45 in dimes and quarters. If the bank contains 29 coins, how many quarters are in the bank?

Answer 1

.1x + .25y = 5.45
x + y = 29

Multiply the second equation by -.1
 .1x + .25y = 5.45
-.1x - .1y  = -2.9  Now add the equations together, the x's will cancel.
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       .15y  = 2.55  Divide both sides by .15
         y = 17
29 - 17 = 12
12 dimes and 17 quarters

CHECK
12 * .1 + 17*.25 = $5.45

Answer 2

There are 12 dimes in there
 and 17 quaters