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Collecting Stamps. Determine the price of an Elvis Presley stamp and a Statue of Liberty stamp given the following information.one Elvis stamp and one Liberty stamp cost a total of 63 cA sheet of 40 Elvis stamps and a sheet of 20 Liberty stamps cost a total of $\$ 18.40 .$ (Hint: $\$ 18.40=1,840 c$.)
Elvis: $29 \not € ;$ Liberty: $34 \not c$
Algebra
Chapter 4
Systems of Linear Equations and Inequalities
Section 4
Problem Solving Using Systems of Equations
Equations and Inequalities
Systems of Equations and Inequalities
Harvey Mudd College
University of Michigan - Ann Arbor
Idaho State University
Lectures
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All right, We've got two different types of stamps. We've got an Elvis stamp in a liberty sin. So one of each costs 63 sense. So Elvis Stamp, plus a liberty stamp cost 63 cents and then 40 Elvis stamps and 20 liberty stamps cost 18 40. It gives you that hint that it's 1840 cents. We got 40 e plus 20 l equals 18. 40. And so what I'm gonna do is multiply this top guy by 20 because then both problems have a 20 l on them. And so I have 20 e plus 20 l equals 20 times 63. What is? Let me check them. She had 12. 60. Hey. And then if we take them away from each other, that's why be multiplied by 20. So they match up 40 minus 20 2020 minus 20. Eliminates than 18. 40 minus 12. 60 is 5 80 to find that by 20. And we get that e is 29. Once we know he's 29 just plug it back into the top equation 29 plus l 63. Take away 29 from both sides and we get, uh, is 34. Remember that these air incense
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