Nick has $3.90 in quarters and dimes, and the total number of coins is 27. How many quarters and how many dimes? Can I have some help with formatting?

There are 19 dimes and 8 quarters

Step-by-step explanation: Q= Quarter and D=dimes

q+d= 27;   q=.25 and d=.10;    

.25q+.10d= $3.90

q= 27-d

.25(27-d)+.10d=3.90    >Distribute .25 through the parenthesis

= 6.75-.25d+.10d=3.90  >Combine like terms

= -.15d=3.90-6.75 >Subtract 6.75 from both sides of the equation

=  -.15d=-2.85   >Subtract

=  d=19  >Divide both sides by -.15

q= 27-d>>>>> q= 27-19

q= 8

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

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−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

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+

2

→

−

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step-by-step explanation:

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