Devonte has a change jar that contains only dimes and nickels. he has 72 coins which add up to a total of $5.25. how many of each type of coin does he have?

There are 33 dimes and 39 nickles.

Step-by-step explanation:

Let the number of dimes be x

Since there are 72 coins ,

So, let the number of nickels be 72-x

As we know that the value of dimes = 10 cents

The value of nickles = 5 cents

So, According to question,

So, the number of dimes is 33.

The number of nickles is 72-33=39

Hence, there are 33 dimes and 39 nickles.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3