Use the five-step plan to solve the following problem. joey has nickels and dimes in his pocket. the number of dimes is 3 times the number nickels. if joey has 11 nickels, what is the total value of the money he has in his pocket?

Let d = number of dimes and n = number of nickels.

If the number of dimes is 4 times the number of nickels, then:

d = 4n

Since ""Joey has 10 nickels**,

n = 10

To evaluate the number of dimes, substitute n = 10 into,

d = 4n

d = 4(10)

d = 40 dimes

We set up an equation to reflect the monetary values as follows,

.10d + .05n = "total value"

Substitute d = 40 and Joey's n=10 nickels into the equation.

.10(40) + .05(10) = 4.00 + 0.50 = $4.50 is the total value.