*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.
1. Tess is making 12 bows.
2. 100 time as 12 bows = 100 × 12 = 1200 bows
3. In exponent form ; 12 × 10²
Given : Number of bows Tess makes = 100 times as the of x
Let the number of bows Tess makes be x
Thus the number of bows Tess is making is 12.
100 times as many means the number which we have calculated should be multiplied by 100.
thus the number as w2e have found out is 12
so multiplied by 100 will give us 1200
Exponential form means that the given number should be expressed in the form of 10.
As the number which is given to us is 1200n
thus in exponential form we can write it as 12 multiplied by 10 raise to the power as the number of zeros of present.
Here then number of number of zeros is 2
thus 10 raised to the power 2.
To know more about expression and exponents you may visit the link which is mentioned below:
brainly.com/question/27850853
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1) 216
2) 203
3) 315
4) 256
5) 576
6) 440
Answer:
1241
Step-by-step explanation:
∴
L.C.M. of 28, 36 and 45 = 2 × 2 × 3 × 3 × 5 × 7 = 1260
∴
the required number is 1260 - 19 = 1241
Hence, if we add 19 to 1241 we will get 1260 which is exactly divisible by 28, 36 and 45.
Answer:
2
Step-by-step explanation:
