Question 1109410: In 1991, Molly attended a coin auction and purchase some rare seated liberty $0.50 pieces, at a number of very rare $0.02 pieces from the Civil War area if she bought 46 coins with a face value of $15.80,how much of each denomination did she buy?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! In 1991, Molly attended a coin auction and purchase some rare seated liberty $0.50 pieces, at a number of very rare $0.02 pieces from the Civil War area if she bought 46 coins with a face value of $15.80,how much of each denomination did she buy?
:
let a = no. of .50 coins
let b = no. of .02 coins
:
".. she bought 46 coins"
a + b = 46
or
b = (46-a); we can use this form for substitution
:
"..with a face value of $15.80,"
.50a + .02b = 15.80
replace b with (46-a)
.50a + .02(46-a) = 15.80
.50a + .92 - .02a = 15.80
.50a - .02a = 15.80 - .92
.48a = 14.88
a = 14.88/.48
a = 31 ea .50 coins
then
46 - 31 = 15 ea .02 coins
:
:
:
Check this, find the sum of the value of each type
.50(31) = 15.50
.02(15) = 0.30
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total $: 15.80
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