Question

Lily has $2.75 in her pocket, consisting of dimes and quarters. If there are 17 coins in all, how many of each does she have?

Answer 1

Answer:

substract total with 2. 45 dollars

Answer 2

$\fontsize{18}{10}{\textup{\textbf{Number of dimes = 10, number of qusrters = 7.}}}$

Step-by-step explanation:

We know that the values of dimes and quarters in dollars is

1 dime = $ 0.10  and  1 quarter = $ 0.25.

Let x and y represents the number of dimes and quarters respectively in Lily's pocket.

According to the given information, we have

$x+y=17\\\\\Rightarrow x=17-</strong>y~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

and

$0.10x+0.25y=2.75\\\\\Rightarrow 10x+25y=275\\\\\Rightarrow 2x+5y=55\\\\\Rightarrow 2(17-y)+5y=55~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{using equation (i)}]\\\\\Rightarrow 34-2y+5y=55\\\\\Rightarrow 3y=21\\\\\Rightarrow y=7.$

So, equation (i) implies that

$x=17-7=10.$

Thus, required number of dimes = 10 and number of quarters = 7.

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Link : https://brainly.in/question/9891192.