Danny reached in his pocket and pulled out 75 cents, all in dimes and nickels. he had twice as many dimes as he had nickels. how many nickels did he have? how many dimes did he have?

Numbers of Dimes = 5

Number of Nickels = 5

Step-by-step explanation:

It is given as Danny have 75 cents .

All are in Dimes and Nickels .

Now as we know that ,

One Dimes = Two Nickels

And One Dimes = 10 cents

so, one Nickles = 5 cents                     Note : ( 2 Nickels = 10 cents )

Or, 5 Nickels = 5 × 5 cents = 25 cents

And 5 Dimes = 5 × 10 cents = 50 cents

So , 5 Dimes + 5 Nickles = 25 cents + 50 cents = 75 cents.

Hence, Number of dimes = 5

           Number of Nickels = 5        Answer

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

step-by-step explanation: