Question

I REALLY NEED HELP PLEASE !!!! I'll GIVE FIVE STARS AND PLEASE MAKE SURE YOU SHOW YOUR WORK THANK YOU!!!! 1. Suppose you pay $45.00 for an electronic game that has been discounted 15%. What is the original price of the electronic game to the nearest cent? Show how you arrived at your solution, check your work, and clearly state your answer.

2. Seiji and Gavin both worked hard over the summer. Together, they earned a total of $600. Gavin earned $30 more than Seiji. How much did each of them earn?
a. Write a system of two equations with two variables to model this problem.
b. Use substitution or the elimination method to solve the system.
c. Graph both equations.
d. Answer the question.

Answer 1

Remark
15% = 15/100 as a fraction. So 100% - 15% = 85%
85% of the original price = 45 dollars.
Let the original price = x
85% as a decimal = 85/100 = 0.85

Solution
85% * x = 45
0.85x = 45 Divide by 0.85
x = 45 / 0.85
x = 52.94 <<<<< answer

Problem 2
Gavin = x
Saiji = y

x + y = 600
x - y = 30 Add
2x = 630 Divide by 2
x = 315 Answer
315 - y = 30 Subtract 315 from both sides
- y = - 285
y = 285 Answer

Gavin Earned 315 dollars.
Seiji earned 285 dollars

The graphs are below.