Suppose there is a pile of​ quarters, dimes, and pennies with a total value of ​$1.18. ​(a). How much of each coin can be present without being able to make change for a​ dollar? If there are multiple selections of coins that will​ work, choose the selection with the largest total number of coins. ​(b). Explain why​ $1.19 is the greatest amount of money it is possible to have without being able to make change for a dollar.

Respuesta :

A) 3 quarters, 4 dimes 3 pennies = 0.75 +0.40 +0.03 = 1.18

 

 B) 3 * .25 + 4 * .10 + 4* .01 = x

.75 + .40 + .04 = x

1.19 = x

If you have 4 quarters, you have change for 1 dollar.

If you have 5 dimes, you have change for 2 quarters.

If you have any nickels, 1 of those could combine with 2 dimes to have change for a quarter.

If you have 5 pennies, you have enough change for 1 nickel.