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Varvara68 [4.7K]
4 years ago
13

Rafael must choose a number between 67 and 113 that is a multiple of, 2,4, and 5 . Write all the numbers that he could choose.

Mathematics
1 answer:
skelet666 [1.2K]4 years ago
5 0
First, find out what the greatest common factor is between 2, 4, and 5. 

<span>This is 20. So any number divisible by 20 is also divisible by 2, 4, and 5. </span>

<span>Now we find the list of numbers that are multiples of 20 between 67 and 113. </span>

<span>The solutions are: </span>

<span>80 and 100.</span>
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A equation to represent this situation is:

0.75x+7.50=0.50x+10.00

Now we have to find x.

Step 1: Subtract 0.5x from both sides.

<span><span><span><span>0.75x</span>+7.5</span>−<span>0.5x</span></span>=<span><span><span>0.5x</span>+10</span>−<span>0.5x</span></span></span><span><span><span>0.25x</span>+7.5</span>=10

</span>Step 2: Subtract 7.5 from both sides.

0.25x+7.5−7.5=10−7.50.25x=2.5

Step 3: Divide both sides by 0.25.

<span><span><span>0.25x/</span>0.25</span>=<span>2.5/<span>0.25

</span></span></span>Answer:

<span>x=<span>10</span></span>
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