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xz_007 [3.2K]
2 years ago
8

David Egil and frances share money in the ratio 2:7:9 Egil gets £85 more than David work out how much they each get ?

Mathematics
1 answer:
Leni [432]2 years ago
8 0

Answer:

David gets £34, Egil gets £119 and Frances gets £153.

Step-by-step explanation:

Let the amount of money David gets be 2x, Egil be 7x and Frances be 9x.

7x = 2x + 85

7x - 2x = 85

5x = 85

x = 85 ÷ 5

x = 17

David (2x) = 2 × £17

                 = £34

Egil (7x) = 7 × £17

             = £119

Frances (9x) = 9 × £17

                     = £153

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How to do this question plz answer ​
ANEK [815]

9514 1404 393

Answer:

  more than half are being used

Step-by-step explanation:

Perhaps easiest to understand is the most straightforward: figure the total number of seats and the number of seats being used. Check to see if that is more than half.

The 1 first-class carriage has usage of ...

  (3/8)(64 seats) = 24 seats.

The 6 standard carriages have usage of ...

  (7/13)(6 · 78 seats) = 252 seats.

The total number of seats used is ...

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The total number of seats on the train is ...

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Half of the seats on the train will be ...

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<em>Alternate solution</em>

Another way to look at this is to compare utilization to 1/2 in each carriage class.

  In first class 1/2 -3/8 = 1/8 of 64 seats = 8 seats fewer than 1/2 the seats are being used.

  In standard class, 7/13 -1/2 = 14/26 -13/26 = 1/26 of 78 seats = 3 seats more than 1/2 the seats are being used. There are 6 standard class carriages, so 6·3 = 18 more than half the seats in the standard-class carriages are being used.

This number is 10 more than the 8 under-utilized seats in first class, so <em>more than half the train seats are being used</em>.

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