SOLUTION: how can i Identify the rate, base, and amount in the following applications. Do not solve the applications at this point PLEASE HELP 1. The electricity costs of a business decreas

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Question 88083: how can i Identify the rate, base, and amount in the following applications. Do not solve the applications at this point PLEASE HELP
1. The electricity costs of a business decreased from $12,000 one year to $10,920 the next. What is the rate of decrease?
2.If the total bill at a restaurant, including a 15% tip, is $65.32, what was the cost of the meal alone?


Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
1. The electricity costs of a business decreased from $12,000 one year to $10,920 the next. What is the rate of decrease?
:
Explaining what we are doing here:
:
Find the amt the bill decreased: 12000 - 10920 = 1080
Find the Per cent decrease: 1080%2F12000 * 100 = 9%
:
Putting this all in one equation:
% decrease = %28%2812000-10920%29%29%2F12000 * 100
:
:
2.If the total bill at a restaurant, including a 15% tip, is $65.32, what was the cost of the meal alone?
:
Let x = cost of the meal; tax will be .15x then, right?
We know:
Meal cost + tax = total bill
x + .15x = 65.32
:
1.15x = 65.32; added up the x's
:
x = 65.32/1.15; divide both sides by 1.15
:
x = $56.80 is the cost of the meal
:
:
Check our solution:
.15 * 56.80 = $8.52 is the tax
Tax + meal cost:
8.52 + 56.80 = 65.32
:
Did this make sense to you?