A coin collector has $45 in just dimes and quarters in a piggy bank he counted all the coins and there are 240 total how many each type of each coin does he have

llm

Answered on Mon Jun 27 2022

Let the number of dimes be x

And, number of quarters be y

Then, according to question

x + y = 240 ….1

We know, 1 dime = $0.10

1 quarter = $0.25

0.10x + 0.25y = 45 …2

Now, Multiplying equation 2 by 10, we get

x + 2.5y = 450 …3

Subtracting equation 1 from 3, we get

x + 2.5y - x - y = 450 - 240

1.5y = 210

y = 210/1.5

y = 140

Now, Putting value of y in equation 1, we get

x + 140 = 240

x = 240 - 140

x = 100

So,coin collector has 100 dimes and 140 quarters.