Let
x-----------> the number of packets of vanilla wafers-------> <span>$4 per packet
</span>y-----------> the number of packets of chocolate wafers -------> $1 per packet
we know that
x+y=27-------------> x=27-y----> equation 1
4x+y=45----------------------> equation 2
the answer part A) is
the <span>system of equations is
</span>
x+y=274x+y=45
Part B)
<span>I selected the
substitution
method to get the answer to
solve systems of two equations, for its
simplicity.</span>
<span>Basically,
the
substitution method consists of</span>
1. Clear an unknown in
one of the equations (equation 1)
<span>2. </span>In the other equation (equation
2) that we have not used, the same incognito is replaced by the value obtained
in step 1.
<span>3. </span>Clear the only unknown
that remains. We obtain the numerical value of an unknown quantity.
<span>4. </span>Replace the unknowns
cleared in step 3 by their numerical value (also obtained in step 3) in the
equation obtained in step 1.
<span>5. </span><span>Operate to obtain the
numerical value of the other unknown quantity.</span>
<span>
</span>
I substitute equation (1) in equation (2)
4*(27-y)+y=45---------> 108-4y+y=45----------> 108-45=4y-y------> y=63/3
y=21
x=27-y----------> x=27-21----------> x=6
the answer Part B) is
the number of packets of vanilla wafers is 6
the number of packets of chocolate wafers is 21
