Question

There are five coins in Dans bank. Some are dimes and some are nickels. A what is greatest amount of money Dan could have? What is the least of money Dan could have?

Answer 1

Answer:

A. $\text{Greatest amount of money that Dan could have}=\ 0.45$

B. $\text{Least amount of money that Dan could have}=\ 0.30$

Step-by-step explanation:

We have been given that there are five coins in Dan's bank. Some are dimes and some are nickels.

A. To find greatest amount of money that Dan could have, we will assume that there are 4 dimes and 1 nickel.

We know that 1 dime is worth 10 cents or $0.10 and 1 nickel is worth 5 cents or $0.05.

Value of 4 dimes would be $4\times \ 0.10=\ 0.40$

$\text{Greatest amount of money that Dan could have}=\ 0.40+\ 0.05$

$\text{Greatest amount of money that Dan could have}=\ 0.45$

Therefore, the greatest amount of money that Dan could have, is $0.45.

B. To find least amount of money that Dan could have, we will assume that there are 4 nickels and 1 dime.

Value of 4 nickels would be $4\times \ 0.05=\ 0.20$

$\text{Least amount of money that Dan could have}=\ 0.20+\ 0.10$

$\text{Least amount of money that Dan could have}=\ 0.30$

Therefore, the least amount of money that Dan could have, is $0.30.