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# coins

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A boy has 5-dollar coins and a 10-dollar coins. They are eight coins all together and their value is 55 dollars.  How many of each kind does he have​?

Mar 16, 2021

#1
+73
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let's define some variables: x and y, for the 5-dollar coins and the 10-dollar coins, respectively.

now let's create a system of equations -

x + y = 8

5x + 10y = 55.

we can simplify that second equation by dividing both sides by 5. now we get:

x + y = 8

x + 2y = 11

let's use elimination and subtract these two equations.

subtracting, we get y = 3.

now to solve for the amount of 5-dollar coins there are, we can plug in our value of y in one of the equations.

x + 3 = 8

x = 8 - 3

x = 5.

hope this helped! please let me know if you are confused about anything i did :)

Mar 16, 2021
edited by euph0ria  Mar 16, 2021
#2
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Hello!

Welcome to this forum. :)))

=^._.^=

catmg  Mar 16, 2021
#3
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hello, thank you for the welcome! i've been looking around and this seems like a great place!

of course! its my pleasure :)

thank you! i love yours too!

euph0ria  Mar 16, 2021
edited by euph0ria  Mar 16, 2021
#4
+118015
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Yep...welcome , euph0ria....I like  your user name, too!!!!

CPhill  Mar 16, 2021