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Question 2 of 6

Use the guess and check method to solve this problem.
Theresa has $50 in her wallet. The bills are worth either $5 or $1. If there are
18 bills total, how many does she have of each type?

User Spencer R
by
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1 Answer

5 votes

Answer:

Theresa has 8 $5 bills and 10 $1 bills.

Explanation:

Guess and Check Method

Start by guessing how many $5 bills Theresa has: 10.

Calculate how much money she has from $5 bills: 10 * $5 = $50.

Calculate how many $1 bills she has: 18 - 10 = 8.

Calculate how much money she has from $1 bills: 8 * $1 = $8.

Check to see if her total amount of money is equal to $50: $50 + $8 = $58.

Since her total amount of money is not equal to $50, our guess was incorrect.

Repeat steps 1-6, trying different numbers of $5 bills until you find a combination that results in a total of $50.

Correct Answer: Theresa has 8 $5 bills and 10 $1 bills.

Check:

$5 bills: 8 * $5 = $40

$1 bills: 10 * $1 = $10

Total: $40 + $10 = $50

User Ivallesp
by
9.3k points