SOLUTION: Set up a system of linear equations and solve for the indicated quantities.
Nathan buys a combination of 45 cents stamps and 65 cents stamps at the post office. If he spends e
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Nathan buys a combination of 45 cents stamps and 65 cents stamps at the post office. If he spends e
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Question 1108895: Set up a system of linear equations and solve for the indicated quantities.
Nathan buys a combination of 45 cents stamps and 65 cents stamps at the post office. If he spends exactly $24.50 on 50 stamps, how many of each type did he buy? Found 2 solutions by MathLover1, ikleyn:Answer by MathLover1(20850) (Show Source):
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Nathan buys a combination of 45 cents stamps and 65 cents stamps at the post office. If he spends exactly $24.50 on 50 stamps, how many of each type did he buy?
let cents stamps be and cents stamps
first convert cents to dollars: cents = $ cents = $
if Nathan buys stamps , we have
.....eq.1
If he spends exactly $ on all stamps, we have .....eq.2
solve the system: .....eq.1 .....eq.2
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.....eq.1 ...solve for .....eq.1a...substitute in eq.2
.....eq.2..solve for
now go back to eq.1a and solve for .....eq.1a
Nathan did buy of cents stamps, and of cents stamps
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There is about one thousand solved word problems in this site on establishing and solving systems of 2 equations in 2 unknowns.