<PRE><B>Question 1035084</B>
x = number of 10 cent coins.
y = number of 5 cent coins.
10 * x = total number of cents in x number of 10 cent coins.
5 * y = total number of cents in y number of 5 cent coins.
since you are dealing in cents, then you need to convert everything to cents.
dollars * 100 = cents.
7 dollars is equal to 700 cents.


total number of coins is 88, so you get x + y = 88.


total value in cents is equal to 700, so you get 10x + 5y = 700.


you have 2 equations that need to be satisfied simultaneously.


they are:


x + y = 88
10x + 5y = 700


if you multiply both sides of the first equation by 10 and leave the second equation as is, you get:


10x + 10y = 880
10x + 5y  700


if you subtract the second equation from the first, you get:


5y = 180.


divide both sides of this equation by 5 to get:


y = 36.


since x + y = 88, then x = 88 - 36 = 52.


since x = 52 and y = 36, you get:


10x + 5y = 10*52 + 5*36 = 520 + 180 = 700.


the solution looks good.
you have 52 ten cent coins and you have 36 five cent coins.
their sum is 700 cents which is equal to 7 dollars.









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