To find the number of cakes and pies sold using elimination method.
Answer to Problem 42SGR
Pies: 18
Cakes: 22
Explanation of Solution
Given:
Total of 40 items were sold for $356.
Cost of pies is $10.
Cost of cakes is $8.
Concept used:
Assume separate variables for each object. Form two equations with the variables. Use elimination method and solve the system of equations.
Calculation:
Let x be the number of pies and y be the number of cakes.
Given that the total number of items is 40.
Then 40 items were sold for $356 also, the cost of pies and cakes is $10 and $8 respectively.
Multiplying (1) with 10,
Subtracting (2) from (3),
Dividing 3 on both sides,
Substituting y in (1),
Subtracting 22 on both sides,
Conclusion:
The number of pies is 18 and the number of cakes is 22.
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Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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