*Given
Money of Phoebe - 3 times as much as Andy
Money of Andy - 2 times as much as Polly
Total money of Phoebe, - <span>£270
</span> Andy and Polly
*Solution
Let
B - Phoebe's money
A - Andy's money
L - Polly's money
1. The money of the Phoebe, Andy, and Polly, when added together would total <span>£270. Thus,
</span>
B + A + L = <span>£270 (EQUATION 1)
2. Phoebe has three times as much money as Andy and this is expressed as
B = 3A
3. Andy has twice as much money as Polly and this is expressed as
A = 2L</span> (EQUATION 2)
<span>
4. This means that Phoebe has ____ as much money as Polly,
B = 3A
B = 3 x (2L)
B = 6L </span>(EQUATION 3)<span>
This step allows us to eliminate the variables B and A in EQUATION 1 by expressing the equation in terms of Polly's money only.
5. Substituting B with 6L, and A with 2L, EQUATION 1 becomes,
6L + 2L + L = </span><span>£270
</span> 9L = <span>£270
</span> L = <span>£30
So, Polly has </span><span>£30.
6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively.
</span>
A = 2L
A = 2(£30)
A = £60
Andy has £60
B = 6L
B = 6(£30)
B = £180
Phoebe has £180
Therefore, Polly's money is £30, Andy's is £60, and Phoebe's is £180.
This is the concept of commercial arithmetic, we are required to calculate the amount that Kerri contributes towards her health insurance if the total annual contribution is $6,486 and the employer pays 80% of this;
percentage insurance that Kerri pays is:
1000-80
=20%
Annual premium= $6,486
Amount paid by Kerri will be:
20/100*[total amount paid]
20/100*6,486
=$1,297.2
The answer is $ 1,297.2
Answer:
5/8= .625
Step-by-step explanation:
Answer:
Given,
Area of the Square = ( x² - 10x + 25 ) m²
We have to find: Length of the side of the square.
Let s be the side of square.
We find length of side of the by using factorization.
According to the question,
s² = x² - 10x + 25
s² = x² - 5x - 5x + 25
s² = x( x - 5 ) - 5( x - 5 )
s² = ( x - 5 )( x - 5 )
s² = ( x - 5 )²
Taking square root on both sides we get,
s = x - 5
Therefore, Expression that represents the length of one side of the square is x - 5.
Step-by-step explanation:
