Question

87. In how many different ways can you make

exactly $0.75 using only nickels, dimes, and
quarters, if you must have at least one of each
coin?
A. 2
B. 4
C. 6
D. 7
E. 12

Answer 1

Hello,

(nickels,dimes,quaters)
(1,2,2) : 1*0.05+2*0.10+2*0.25=0.75
(2,4,1)
(3,1,2)
(4,3,1)
(6,2,1)
(8,1,1)

Answer C

Answer 2

Answer with explanation:

A Quarter =25 % of Dollar

A Dime =10 % of Dollar

A Nickel =5 % of Dollar

We have to make , $ 0.75 using only nickels, dimes, and quarters.

So, Writing the above statement in terms of equation

`0.25 Q+0.10 D+0.05N=0.75`

It is given that, I Possess at least one of each that is nickels(N), dime(D), and quarter(Q).

Possible Combinations or ways are

1.→ Q=1, D=1, N=2

2.→ Q=1, D=2,N=4

3.→ Q=1,D=3, N=6

4.→Q=1,D=4, N=8

5.→Q=2, D=1,N=1

6.→Q=2, D=2, N=3

Option C: →6