Derrick has a total of 9 nickels and quarters in his pocket. the total amount of money he has in coins is $1.45. how many nickels and how many quarters does derrick have? (with solution)
a. 3 nickels and 6 quarters
b. 6 nickels and 3 quarters
c. 4 nickels and 5 quarters d.
5 nickels and 4 quarters

A) N + Q = 9

B) .05 N + .25 Q = 1.45

Multiplying A) by -.25 we get

A) -.25 N -.25Q = -2.25  then adding B)

B) .05 N + .25 Q = 1.45

-.2N = -.80

4 Nickels

5 Quarters

Answer is C

Step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

answer: you need the equation in the question so i can answer it

step-by-step explanation: