Substitution Worksheet With Answer Key - Waynesville R-Vi School District Page 25
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38The number of apples should be 4.
Therefore, neither Guillermo nor Cara is correct. Guillermo substituted incorrectly for b. Cara solved correctly for a,
6-2 Substitution
but misinterpreted the pounds of apples bought.
A local charity has 60 volunteers. The ratio of boys to girls is 7:5. Find the number of
boy and the number of girl volunteers.
Let g represent the number of girls and b represent the number of boys. Since the total number of volunteers is 60,
one equation is g + b = 60. A second equation can be written as
, since the ratio of boys to girls is 7:5. To find
the number of boys and girls, solve the system of equations.
First, solve the first equation for g
b from each side to get g = 60
b. Then, substitute 60
b into the
second equation for g.
Use the solution for b and either equation to find g.
So, there were 25 girl volunteers and 35 boy volunteers.
Compare and contrast the solution of a system found by graphing and the solution of the same
system found by substitution.
Solve the following system of equations by graphing.
y = 2x + 1 and y =
.
From the graph, it appears the solution is close to
.
Page 25
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Next, solve the same system by substitution.
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