Ben has $5.40 in nickels and dimes. He has 4 times as many dimes as nickels. How many dimes does he have?

There are 24 dimes

Step-by-step explanation:

we can make an equation and then solve it to find our answer.

n = number of nickles at $0.05 each

4d = number of dimes at $0.10 each  

(0.5)n + (0.10)(4n) = 5.40

We now solve this

First, multiply

0.5d+0.4d=5.40

then add

0.9d=5.40

then divide

D=6

Then, multiply by four since there are four times as many dimes

6x4=24

There are 24 dimes

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )