The Dogs and Drinks vendor sells three different kinds of foot-long hot dogs. Plain dogs sell for $5, kraut dogs sell for $7, and cheese dogs sell for $8 each. The vendor sold 52 hot dogs and brought in $351. The number of cheese dogs sold was two more than five times the number of kraut dogs sold. Letting x = the number of plain dogs sold, y = the number of kraut dogs sold, and z = the number of cheese dogs sold, write a system of three equations in standard form to represent this situation. Then find the number of each type of hot dog sold.
The Dogs and Drinks vendor sells three different kinds of foot-long hot dogs. Plain dogs sell for $5, kraut dogs sell for $7, and cheese dogs sell for $8 each. The vendor sold 52 hot dogs and brought in $351. The number of cheese dogs sold was two more than five times the number of kraut dogs sold. Letting x = the number of plain dogs sold, y = the number of kraut dogs sold, and z = the number of cheese dogs sold, write a system of three equations in standard form to represent this situation. Then find the number of each type of hot dog sold.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.4: Solving Quadratic Equations By Factoring
Problem 49PPS
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The Dogs and Drinks vendor sells three different kinds of foot-long hot dogs. Plain dogs sell for $5, kraut dogs sell for $7, and cheese dogs sell for $8 each. The vendor sold 52 hot dogs and brought in $351. The number of cheese dogs sold was two more than five times the number of kraut dogs sold. Letting x = the number of plain dogs sold, y = the number of kraut dogs sold, and z = the number of cheese dogs sold, write a system of three equations in standard form to represent this situation. Then find the number of each type of hot dog sold.
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