Question

Can some one help me with this I need it broken down on how I got the answer

Answer 1

Explanation:

Let the dimes = d

Let the nickels = q

d + q = 24

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(0.1)d + q(0.25) = 3.75 multiply this equation by 100 to get rid of the decimals.

10d + 25q = 375

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Write the bottom equation first and the top equation * 10 second

10d + 25q = 375

10d + 10q = 240 Subtract. The n s cancel.

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15q = 135 Divide by 15

q = 135/15

q = 9

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d + q = 24

d + 9 = 24 Subtract 9 from both sides.

d = 24 - 9

d = 15

Check

There are 15 dimes and 9 quarters.

15 * 0.1 = 1.50

9 * 0.25= 2.25

Sum = 3.75 which is what you were given.

Answer 2

Quarters are 9 and dimes are 15

Explanation:

Let suppose d is dime and q is quarter then

d=10 q=25

d+q=24 .............................1

10d+25q=$3.75

3.75 = 375 cents

...

10d+25q=375.........................2

..

solve by addition

multiply (1) by -10

-10d-10q=-240

add it to (2)

25q-10q=375-240

15q=135 /15

q=135/15

q= 9

Now

plug value of q in 1

d+q=24

d+9=24

d=15