Question

The cost of a bag of chips in a vending machine is $0.85. The cost of a Gatorade in the same machine is $1.50. Kennedy spent $23.70 on chips and Gatorade for her track team, and bought a combination of 21 bag of chips and Gatorade. Which step shows the FIRST mistake in applying the Elimination Method to solve this problem? A) Step1: - 0.85(x + y = 21) 0.85x + 1.50y = 23.70 B) Step 2: - 0.85x + y = 21 0.85x + 1.50y = 23.70 C) Step 3: 2.50y = 44.70 D) Step 4: y = 17.88

Answer 1

step 1 : -0.85(x + y = 21) <== I have no idea why they r multiplying -0.85 by that equation

it should be :
x + y = 21
0.85x + 1.50y = 23.70

Answer 2

a bag of chip = 0.85, let a bag of chip be x
a bag of gatorade is 1.50, let gatorade be y
23.70 is the amount Kennedy spent in all

0.85x + 1.50y = 23.70
step 1: shows the wrong step already, because you shouldn't take out a -0.85, and y is not 0.85 either, but 1.50, so y should still have 1.76 left

so your answer should be step 1.

hope this helps