Question 1173116
<br>
Faulty statement of the problem.<br>
It is most likely not your fault -- you probably showed the problem exactly as it was given to you.  However, as shown, the problem has no solution in whole numbers, so it is flawed.<br>
Unfortunately, in everyday English, the phrases "3 times more than" and "3 times as many as" are sloppily used to mean the same thing, but they do not.  3 times AS MANY AS x is 3x; 3 times MORE THAN x is x, plus 3x MORE, which is x+3x = 4x.<br>
If we try to solve the problem as given, then....<br>
x = number of 10 cent coins
4x = number of 25 cent coins<br>
Total value is $17, or 1700 cents:<br>
{{{x(10)+4x(25) = 1700}}}
{{{10x+100x = 1700}}}
{{{110x = 1700}}}
{{{x = 1700/110}}}<br>
That calculation does not yield a whole number value for x.<br>
If you correct the wording of the problem to say that there are 3 times AS MANY 25 cent coins as 10 cent coins, then the problem has a reasonable solution.<br>
x = number of 10 cent coins
3x = number of 25 cent coins<br>
{{{x(10)+3x(25) = 1700}}}
...<br>
You can finish from there.<br>