At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
Answer:
The number of nickels is 47
Step-by-step explanation:
1 nickel is 5 cents while 1 quarter is 25 cents
let the number of nickels be n and the number of quarters be q
From the question;
the number of nickels n is 8 more than half the number of quarters (q/2)
n = q/2 + 8
(n-8) = q/2
q = 2(n-8) = 2n - 16 ••••(i)
let us convert $21.85 to cents
there are 100 cents in $1
Thus; $21.85 will be 21.85 * 100 = 2185 cents
1 nickel is 5 cents; so n nickels will be 5 * n = 5n cents
1 quarter is 25 cents; so q quarters will be 25 * q = 25q cents
The addition of both will give 2185 cents
Thus;
5n + 25q = 2185 ••••••(ii)
Substitute equation i into ii
5n + 25(2n-16) = 2185
5n + 50n - 400 = 2185
55n = 2185 + 400
55n = 2,585
n = 2,585/55
n = 47 nickels
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.
