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UNO [17]
3 years ago
12

Sam and Bethan share £54 in the ratio 5:4 Work out how much each person gets

Mathematics
1 answer:
Kitty [74]3 years ago
4 0
They each share 27 dollars
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Scott is reading two books at the same time to prepare for a report he is writing. So far, he has read 407 of the total number o
Hitman42 [59]

Answer:

The system of equations are

x+y=557

\frac35x+\frac56 y=407

The total pages in shorter book is 245

The total pages in longer book is 312

Step-by-step explanation:

Given that,

Scott has read 407 of the total number of 557 pages, which \frac35 of the shorter book and \frac56 of longer book.

Total number of pages of shorter book be x and longer book be y.

Then,

\frac35 page of the shorter book  =\frac35 x

\frac56 pages of the longer book = \frac56y

So, he has read =\frac35x+\frac 56y

Total number of pages of both book is = x+y

According to the problem,

x+y=557.........(1)

\frac35x+\frac56 y=407.......(2)

We can write equation (2) as

\frac35x+\frac56 y=407

\Rightarrow \frac{18x+25y}{30}=407

\Rightarrow {18x+25y}=407\times 30

\Rightarrow {18x+25y}=12,210......(3)

Now 18 times of equation (1) subtract from equation (3)

   18x+25y=12210

   18x+18y=10026

-        -        -

_______________

        25y-18y=12,210-10,026

     ⇒7y=2,184

     \Rightarrow y=\frac{2184}{7}

     ⇒y= 312

Plug y=312 in equation (1)

x+312=557

⇒x=557-312

⇒x=245

The total pages in shorter book is 245

The total pages in longer book is 312

5 0
3 years ago
What is the greatest common factor for 66 and 121
Stels [109]

11 is the greatest common factor


4 0
3 years ago
If a = -2, b = 6, and c = -5, find the value of a(3a² + 2ac)
sp2606 [1]
(-2)(3*4+2(-2)(-5)) = -2(12+20) = -2(32) = -64
7 0
3 years ago
What value of b will cause the system to have
Tresset [83]

9514 1404 393

Answer:

  6

Step-by-step explanation:

The value of b that makes the two lines identical is the opposite of the y-intercept of the line.

  y = 6x -6 . . . . has y-intercept = -6

The value of b is the number in the term -6, so is 6.

5 0
3 years ago
a school held a tennis tournament. after each round one fourth of the players were eliminated. if there were 64 players at the s
Sveta_85 [38]

Answer:

If there are 32 teams in the tournament and 1 winner, there were 31 games. So, 63 - 31 = 32 games.

 

8 0
3 years ago
Read 2 more answers
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