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3 years ago

One number is five less than a second number. Three times the first is 14 more than 4 times the second. Find the numbers.

Mathematics

1 answer:

Evgen [1.6K]3 years ago

8 0

Answer:

Second number = -29

First number = -34

Step-by-step explanation:

Second number = x

First number = x - 5

3*(x-5) = 4x + 14

3x - 3*5 = 4x + 14

3x - 15 = 4x + 14

-15 = 4x +14 - 3x

-15 = x + 14

-14 - 15 = x

x = -29

Second number = -29

First number = -29 - 5 = -34

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Elan Coil [88]

Answer:

$Adults = 510$

Step-by-step explanation:

Given

$Children = \frac{3}{5}$

$Girls:Boys = 2 : 7$

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Required

Determine the number of adults

First, we need to calculate the number of children

$Girls:Boys = 2 : 7$

Given that: $Girls = 170$

Substitute 170 for Girls in $Girls:Boys = 2 : 7$

$170 : Boys = 2 : 7$

Convert to fraction

$\frac{170}{Boys} = \frac{2}{7}$

Cross Multiply

$Boys * 2 = 170 * 7$

Divide both sides by 2

$Boys = \frac{170 * 7}{2}$

$Boys = \frac{1190}{2}$

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So, the number of children are:

$Children = Boys + Girls$

$Children = 595 + 170$

$Children = 765$

Next, we calculate the number of people in the cinema.

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Substitute 765 for Children

$765 = \frac{3}{5} * People$

Make People the subject.

$People = \frac{765 * 5}{3}$

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$People = 1275$

If 3/5 are children, then 2/5 are adults.

So:

$Adults = \frac{2}{5} * 1275$

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$Adults = \frac{2550}{5}$

$Adults = 510$

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3 years ago