*Given
Money of Phoebe - 3 times as much as Andy
Money of Andy - 2 times as much as Polly
Total money of Phoebe, - £270
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 £270. Thus,
B + A + L = £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 (EQUATION 2)
4. This means that Phoebe has ____ as much money as Polly,
B = 3A
B = 3 x (2L)
B = 6L (EQUATION 3)
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 = £270
9L = £270
L = £30
So, Polly has £30.
6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively.
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.
How you find the area of a triangle is base × height ÷ 2. So the equation would be 6×3=18 18÷2=9, so the answer is 9. Hope this helped!
Answer:
A two-step equation is something like:
A*X + B = C
In this case, like in a linear equation, we have only one solution that can be found as:
A*X = C - B
X = (C - B)/A
In the case of a two-step inequality, we have something like:
A*X + B > C
Solving this we get;
A*X > C - B
X > (C - B)/A
In this case, any value of X that is larger than (C - B)/A is a solution, so in this case, we have infinite solutions.
That is the difference between the number of solutions for each case, in a two-step equation we have only one, while in the case of the inequality we have infinite.
The answer would be:
8 × 4 = 32
32 ÷ 4 = 8
Answer:
287
Step-by-step explanation:
400+10=410
(70:100)*410
(70*410):100
28700:100 = 287
