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
Answer:
The correct answer is the base price is $14.50 and surcharge is $2.45 per pound.
Step-by-step explanation:
United Express charges a base price on packages weighing less than or equal to 1 pound and a surcharge for additional pounds.
Let the base price be $b and surcharge be $s.
For a 4 pound package, the customer is billed $21.85. Therefore the equation of his billing looks like b + 3s = 21.85.
For a 19 pound package, the customer is billed $58.60. Therefore the equation of his billing looks like b + 18s = 58.60.
Subtracting both the equation from each other we get 15s = 36.75
⇒ s = $2.45 and b = $14.50.
Thus the base price is $14.50.
Answer:
17/7
Step-by-step explanation:
Cross multiply
10y - 10 = 3y+7
7y - 10 = 7
7y = 17
y = 17/7
Answer:
(4x + 1)(x² - 2)
Step-by-step explanation:
Given
4x³ + x² - 8x - 2 ( factor the first/second and third/fourth terms )
= x²(4x + 1) - 2(4x + 1) ← factor out (4x + 1) from each term
= (4x + 1)(x² - 2)
