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1 year ago

12

If the ratio of tourists to locals is 3:4 and there are 120 tourists at the opening of a new muesum, how many locals are in atte

ndance?

1 answer:

Ronch [10]1 year ago

3 0

Let the number of locals be "x".

From the information given, we can write two ratios and equate:

$\frac{3}{4}=\frac{120}{x}$

We can easily solve for "x" by cross multiplication >>>

$\begin{gathered} \frac{3}{4}=\frac{120}{x} \\ 3x=4\times120 \\ 3x=480 \\ x=160 \end{gathered}$

So,

The

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3 years ago

What is the answer to the system of equations problem<br> 3x=2y+10<br> 9y=3x-7

Gemiola [76]

Solving:

$\left \{ {{3x = 2y + 10} \atop {9y = 3x-7}} \right.$
<span>Organize by putting the unknowns left and right the numbers without letter, changing the signal when changing sides.
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<span>Eliminate opposites (+ 3x and -3x)
</span> $\left \{ {{\diagup\!\!\!\!3x-2y=10} \atop {-\diagup\!\!\!\!3x+9y=-7}} \right.$
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----------------------------
$7y = 3$
$\boxed{y = \frac{3}{7} }$

<span>Now substitute the found value "y" in the first equation:
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$3x-2* \frac{3}{7} =10$
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$\frac{21x}{\diagup\!\!\!\!7} - \frac{6}{\diagup\!\!\!\!7} = \frac{70}{\diagup\!\!\!\!7}$
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Answer:
$(x,y) = ( \frac{76}{21} , \frac{3}{7} )\end{array}}\qquad\quad\checkmark$

<span>
Taking the truth proof
</span>
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$\frac{228}{21} - \frac{6}{7} = 10$
$\frac{1596-126}{147} = 10$
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$10 = 10\:(TRUE)$

8 0

3 years ago

How do I solve this problem?

elena-s [515]

Answer:

18

Step-by-step explanation:

Let FG Be x

As they are similar to each other

EJ/JH= EF/FG

Or, 12/24= 6/x

Therefore, x= 12

Now,

EG= EF+ FG

= 6+ 12

= 18

Hope it helped ya :)

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