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kozerog [31]
3 years ago
9

£150 is divided between Malachy, Paul & Brian so that Malachy gets twice as much as Paul, and Paul gets three times as much

as Brian. How much does Malachy get?
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
3 0

Answer:

£90

Step-by-step explanation:

Let M = Malachy's share

and P = Paul's share

and B = Brian's share.

We have three conditions:

                                              (1)               M = 2P

                                               (2)                P = 3B

                                               (3)   M + P + B = 150

Solve for B:

Substitute (2) into (3)             (4) M + 3B + B = 150

                                               (5)       M + 4B = 150

Substitute (2) into (1)                                  M = 2(3B)

                                               (6)                M = 6B

Substitute (6) into (5)                6B + 3B + B = 1 50

                                               (7)                B = 15

Solve for P:

Substitute (7) into (2)                                  P = 3×15

                                               (8)                P = 45

Solve for M:

Substitute (8) into (1)                                  M = 2×45

                                                                   M = 90

Malachy gets £90.

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Answer:  The image of the completed table is shown below

In the completed table, we have the following values (left to right)

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Explanation:

We're told that "40 people responded that they use mouthwash". That means we'll write "40" at the very end of the "use mouthwash" row. This represents the total number of people who use mouthwash, since we're underneath the "total" in that far right column.

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The full completed table is shown below.

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