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A jar has some dimes and quarters in it. There are a total of 27 coins and the total value of the coins is $4.50. Melissa says there are 5 dimes and 16 quarters. Doug says there are 30 dimes and 6 quarters. Zoey says there are 20 dimes and 10 quarters. They are all incorrect. Select one person and explain why he or she is incorrect. Then, state the correct number of each type of coin. Be sure to explain how you arrived at your answer.

 

 You must:

identify who you have chosen

explain why you think he or she is incorrect

justify your reasoning mathematically

give the correct number of each type of coin

use appropriate mathematics to support your answer 

 

please do these questions on top also, thanks!

 Mar 4, 2021
edited by Guest  Mar 4, 2021
 #1
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We can choose Doug. The reason Doug is incorrect is because if there are 30 dimes and 6 quarters, they will have a total amount of 36 coins, which is not 27.

 

We know that a dime is worth $10$ cents, and a quarter is worth $25$ cents. Lets say that there are d dimes, and q quarters. this means that

 

10d+25q=450

d+q=27

 

we can multiply the second equation by 10:

 

10d+10q=270

 

and now we can subtract that equation from the first equation to cancel out the d and we have

 

25q-10q=450-270=15q=180

 

q=$\frac{180}{15}$=$\boxed{12}$

 

Now we can plug that value in for q, and we have

 

d+12=27

d=27-12=$\boxed{15}$

 Mar 4, 2021
 #2
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con a denomanator be on top or on bottom???

 Mar 4, 2021
 #3
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The denominator is at the bottom of the fraction. 

In 1/2, the 2 is a demoniator since it's at the bottom. 

 

=^._.^=

catmg  Mar 4, 2021

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