You and your brother each start a child-care service. You spend $50 on supplies and plan to charge $10 per hour. Your brother spends $30 on supplies and plans to charge $8 per hour. How many hours will each of you have to work to earn the same amount of money?
Answers
The solution is, you'll both have to work for 10 hours to make the same amount of money. That amount of money is $50.
What is simplification?
Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
You spend $50 on supplies and plan to charge $10 per hour.
Your brother spends $30 on supplies and plans to charge $8 per hour.
Let X = hours worked,
and Y = money earned
This is your equation : y = 10x - 50
This is your brothers : y = 8x - 30
Now, we know that you have to work to make the same amount of $$ (y value)
So set it equal to each other, ** 10x-50 = 8x-30 **
10x-8x= -30+50
2x=20
x=10.
The answer is, you'll both have to work for 10 hours to make the same amount of money. That amount of money is $50.
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charges $10 per hour ⇔
[The number that 10 & 8 both have in
Brother: spends $30 on supplies common is 40]
charges $8 per hour ⇔
↓
You: 10 x 4= 40 [You'll work 4 hours to get the same amount of money.]
↓
Brother: 8 x 5= 40 [Your brother will work 5 hours to get the same amount of money.]
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Answers
2/3 is bigger than 1/3......TO CHECK this answer 2/3=66% or .66 and 1/3=33% or .33
Therefore, 2/3(66%) is greater than 1/3(33%)
2/3>1/3
2/3 = .66
1/3 = .33
66 is larger than 33.
Fractons that are bigger than 1/3 are: 2/3 3/3 4/3
Answers