Algebra 1

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

Chapter 6 - Systems of Equations and Inequalities - 6-3 Solving Systems Using Elimination - Practice and Problem-Solving Exercises - Page 379: 30


a whole pepperoni pizza contains 660 calories a whole ham and pineapple pizza contains 580 calories

Work Step by Step

Let x be the toal calories from a whole a pepperoni pizza Let y be the total calories from a whole ham and pineapple pizza Given: $\frac{1}{2}$x+$\frac{3}{4}$y=765 $\frac{1}{4}$x+y=745 Multiply the second equation to 2: 2 ($\frac{1}{4}$x+y=745) => $\frac{1}{2}$+2y=1490 Use second question to subtract first equation: ($\frac{1}{2}$x+2y=1490)-($\frac{1}{2}$x+$\frac{3}{4}$y=765) => $\frac{1}{2}$x-$\frac{1}{2}$x+2y-$\frac{3}{4}$y=1490-765 => $\frac{5}{4}$y=725 => y=580 Substitue value of y into first equation to find x: $\frac{1}{2}$x+$\frac{3}{4}$(580)=765 => $\frac{1}{2}$+435=765 =>$\frac{1}{2}$x=330 => x =660 Solution: x=660, y=580
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