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2 years ago

Alex has 3 times as many pets as Roman. If they have 24 altogether ,how many do they have ?

2 answers:

7 0

Alex has 18 pets, and Roman has 6. I found this out by doing a equation that adds up to 24 with two numbers that multiply ( 6x3 ) up to one of the other numbers so that's how I got 6 and 18.

( or something like that...)

Viefleur [7K]2 years ago

5 0

A= 3R
R = A/3
24= A + R
24= 3R + R
24 = 4R
6= R
A= 18

Roman = 6
Alex = 18

6+18 = 24

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Step-by-step explanation:

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Now, how does this information matter, you might ask? Well, we can take either $AB$ <em>or </em> $CB$ to be the base and either $DE$ or $DM$ to be the height. In this case, let's take the latter two options, as we are looking to find the length of $DM$ .

Therefore, we know that the area of parallelogram $ABCD$ can also be found by calculating $CB*DM$ . Since we know the values of the area and $CB$ , we can write the following equation to solve for $DM$ :

$Area = CB*DM$

$120=10*DM$ (Substitute $Area=120$ and $CB=10$ into the equation)

$\frac{120}{10}=\frac{10*DM}{10}$ (Divide both sides of the equation by $10$ to get rid of $DM$ 's coefficient)

$12=DM$ (Simplify)

$DM=12$ (Symmetric Property of Equality)

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