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11 votes
11 votes
Teresa has a total of 13 coins.

None of them are pennies, and she has at least three each of quarters, dimes, and nickels.

What is the least amount of money she can have?

User Seddonym
by
3.2k points

2 Answers

17 votes
17 votes

Answer: $1.40

This is equivalent to 140 cents.

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Step-by-step explanation:

"she has at least three each of quarters, dimes, and nickels"

Let's say she has exactly 3 of each for now

  • 3 quarters = 3*25 = 75 cents
  • 3 dimes = 3*10 = 30 cents
  • 3 nickels = 3*5 = 15 cents

So far she has 75+30+15 = 120 cents (aka $1.20) with the 3*3 = 9 coins mentioned. There are 13-9 = 4 coins remaining

To achieve the least money possible, those missing four coins must be the smallest denomination allowed, i.e. the nickel. We can't go for penny since it states "none of them are pennies". So we add 4*5 = 20 more cents onto 120 to get 120+20 = 140 cents aka $1.40

User Abax
by
2.7k points
22 votes
22 votes

Answer: $0.65

Step-by-step explanation:

She can have all nickels since at least 3 nickels means that there is a possibility that all 13 of her coins are nickels.

100 cents=1 dollar

Nickel=5 cents

5 cents * 1 dollar/100 cents=

5*1/100=0.05 dollars

Hence, the least total amount of money she could have is:

13*0.05=$0.65

User Mujadid Mughal
by
2.9k points