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

Can some one help me with this I need it broken down on how I got the answer-example-1
User Davispuh
by
7.9k points

2 Answers

3 votes

Answer:

Explanation:

Let the dimes = d

Let the nickels = q

d + q = 24

=============

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

10d + 25q = 375

=============

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

10d + 25q = 375

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

===========

15q = 135 Divide by 15

q = 135/15

q = 9

================

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.

User PretzelJesus
by
8.7k points
4 votes

Answer:

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

User Verona
by
7.7k points

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