*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.
Answer:
y = -3x - 8.3
Step-by-step explanation:
You need to rearrange 9x + 3y = -22 in the form y = mx+c.
9x+3y = -22
3y = -9x - 22
y = -3x - 7.3
As long as the gradient is the same, the lines will be parallel. So you can give any number to the intercept (in this case I gave 8.3) and you will have parallel equations.
Final answer : y = -3x - 8.3
There are 61 blue marbles
<em><u>Solution:</u></em>
Let "b" be the number of blue marbles
Let "r" be the number of red marbles
Given that bag contains blue marbles and red marbles, 75 in total
number of blue marbles + number of red marbles = 75
b + r = 75 -------- eqn 1
The number of blue marbles is 5 more than 4 times the number of red marbles
number of blue marbles = 5 + 4(number of red marbles)
b = 5 + 4r ------- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 2 in eqn 1
5 + 4r + r = 75
5 + 5r = 75
5r = 75 - 5
5r = 70
r = 14
From eqn 2,
b = 5 + 4(14) = 5 + 56 = 61
b = 61
Thus there are 61 blue marbles
Answer:
(5,40)
Step-by-step explanation:
(x,y) scaled by a factor of z is (x*z,y*z)
(1,8) scaled by a factor of 5 is (5,40)
