Answer:
14 ways in all.
Step-by-step explanation:
A. If you use 2 quarters, you have to make the remaining 15� with either no
dimes or 1 dime and the rest in nickels.
That's 2 ways.
B. If you use 1 quarter, you have to make the remaining 40� with either no
dimes, 1 dime, 2 dimes, 3 dimes or 4 dimes and the rest, if any, in nickels.
That's 5 more ways.
C. If you don't use any quarters, you have to make the entire 65� with either
0, 1, 2, 3, 4, 5 or 6 dimes and the rest in nickels.
That's 7 more ways. 2+5+7 = 14 ways in all.
Total number of ways you can make 65 cents using nickels dimes and quarters is; 14 ways
From conversion tables we know that;
1 quarter = 25 cents
1 dime = 10 cents
1 nickel = 5 cents
That is; 2 × 25 = 50 cents
To make 65 cents, we can either use 1 dime and 1 nickel or 3 nickels without any dime.
That's a total of two ways
To make 65 cents, the ways are;
4 dimes without any nickel
3 dimes and 2 nickels
2 dimes and 4 nickels
1 dime and 6 nickels
0 dime and 8 nickels
That's a total of five ways.
6 dimes with 1 nickel
5 dimes with 3 nickels
4 dimes with 5 nickels
3 dimes with 7 nickels
2 dimes with 9 nickels
1 dime with 11 nickels
0 dime with 13 nickels
That's a total of 7 ways
Thus;
Total number of ways you can make 65 cents using nickels dimes and quarters is; 2 + 5 + 7 = 14 ways
Read more about conversion of quarters, dimes and nickels to cents at; https://brainly.com/question/4790393
