Question

Suppose while at a store, you ask for change for five dollars. You get in return exactly twenty-four coins, all of which are nickels and quarters. How many nickels and quarters did you receive?

Answer 1

Answer:

19 quarters and 5 nickles

Step-by-step explanation:

19 * .25 = 4.75     .05 * 5 = .25     4.75+.25= 5

Answer 2

Answer: 5 nickels and 19 quarters

Step-by-step explanation:

Let represent the number of nickels and let represent the number of quarters.

From the problem we can write these two equations:

+ = 24; (0.05) + (0.25) = 5.00

Isolate in the first equation: = 24 − .

Substitute 24 − for and solve for :

(24 − )(0.05) + (0.25) = 5.00

24(0.05) − (0.05) + (0.25) = 5.00

1.20 − 0.05 + 0.25 = 5.00

1.20 + 0.20 = 5.00

0.20 = 3.80

= 19

Use = 19 to find :

+ = 24; + 19 = 24; = 5

Answer: 5 nickels, 19 quarters

Hope this helps!