Respuesta :

Americ
STEP 1
determine quantity and cost equations

x= number of nickels
y= number of dimes

QUANTITY EQUATION
x + y= 16

COST EQUATION
each nickel= $0.05
each dime= $0.10

$0.05x + $0.10y= $1.05


STEP 2
multiply quantity equation by -0.10

-0.10(x + y)= -0.10(16)
-0.10x - 0.10y= -1.60


STEP 3
using the elimination method, add the cost equation and step 1 equation to eliminate the y term and solve for x

0.05x + 0.10y= 1.05
-0.10x - 0.10y= -1.60
y term cancels out

-0.05x= -0.55
divide both sides by -0.05

x= 11 nickels


STEP 4
substitute x value in either original equation

x + y= 16
11 + y= 16
y= 5 dimes


CHECK
$0.05x + $0.10y= $1.05
0.05(11) + 0.10(5)= 1.05
0.55 + 0.50= 1.05
1.05= 1.05


ANSWER: There are 11 nickels and 5 dimes.

Hope this helps! :)

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