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A student is collecting dimes and quarters as a fundraiser for their CAS project. After the first week, they tasked a younger sibling to count them up, who found there to be 211 coins. After taking the coins to the bank, the student was given $37.30. Find how many dimes did the student collect, and how many quarters did the sudent collect?

Respuesta :

Answer: [tex]103,108[/tex]

Step-by-step explanation:

Given

There are total of 211 coins

The worth of the coins is [tex]\$37.30[/tex]

Suppose there are x dimes and y quarters

A dime is equivalent to 10 cents and quarter is equivalent to 25 cents

[tex]\therefore x+y=211\quad \ldots(i)\\\Rightarrow 0.1x+0.25y=37.30\\\Rightarrow x+2.5y=373\quad \ldots(ii)[/tex]

Solving (i) and (ii) we get

[tex]x=103,y=108[/tex]

Therefore, student collects 103 dimes and 108 quarters.