Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 2 - Solving Equations - 2-4 Solving Equations with Variables on Both Sides - Lesson Check: 5

Answer

$100$ cards

Work Step by Step

Let number of cards be x. The cost for pristine printing cards would be $15 + 0.1 x$ The cost for printing place cards is $10 + 0.15 x$ Set these two equations equal: $15 + 0.1x = 10 + 0.15x$ Multiply each side by $100.$ $1500 + 10x = 1000 + 15x$ Subtract $10x$ from each side $1500 = 1000 + 15x-10x $ $1500 = 1000 + 5x$ Subtract $1000$ from each side to isolate $5x.$ $500 = 5x$ Divide both sides by $5$ to isolate $x.$ $x = 100$
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