Question

Name: ___________________________________________ Class: ___________

Real World Situation

Bryce spent $5.26 on some apples priced at $0.64 each and some pears priced at
$0.45 each. At another store he could have bought the same number of apples at
$0.32 each and the same number of pears at $0.39 each, for a total cost of $3.62. How
many apples and how many pears did Bryce buy?

Write equations in Standard Form.
Equation 1 (Store 1) Equation 2 (Store 2)
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Solve both equations in Standard Form. Show all work.
HINT: Replace the given values for x in the equation and solve for y

Equation 1
x (x,y)
0

1

2

3

4

5

6

Equation 2
x (x,y)
0

1

2

3

4

5

6

Solution:- ( , )
Identify the solution and state what it means in context of the problem.
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Use Substitution Method to solve the system of Equations. Show all work and state
the solution.

Solution: ( , )

Explain in your own words your process of solving the System of Equations using
Substitution Method.
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Use Elimination Method to solve the system of Equations. Show all work and state the
solution.

Solution: ( , )

Explain in your own words your process of solving the System of Equations using
Elimination Method.

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Use Graphing Method to solve the system of Equations. Show all work and state the
solution.

Solution: ( , )

Explain in your own words your process of solving the System of Equations using
Graphing Method.
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Reflection:
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Name_____________________________________ Class:______________ 2020-2021 Score:
Circumstances of Performance Students comments: I have learned that
___independent work __________________________________________________________________
___in class __________________________________________________________________
___as Homework __________________________________________________________________
___with a partner __________________________________________________________________
___with teacher feedback
___with an opportunity for revision Teacher comments/Next Steps:
__________________________________________________________________
Peer Reflection:
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___________________________________________________ ___________________________________________________________________
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Answer 1

Let the number of apples be x and that of pears be y, then:

0.64x + 0.45y = 5.26 . . . (1)

0.32x + 0.39y = 3.62 . . . (2)

(2) x 2 => 0.64x + 0.78y = 7.24 . . . (3)

(1) - (3) => -0.33y = -1.98

y = -1.98 / -0.33 = 6

From (2), 0.32x + 0.39(6) = 3.62

0.32x = 3.62 - 2.34 = 1.28

x = 1.28 / 0.32 = 4