154k views
1 vote
Use the guess and check method to solve this problem.

Theresa has $26 in her wallet. The bills are worth either $5 or $1. If
there are 14 bills total, how many does she have of each type?
OA. 11 fives and 3 ones
OB. 2 fives and 12 ones
OC. 4 fives and 10 ones
OD. 3 fives and 11 ones

User Zelf
by
7.3k points

1 Answer

2 votes

Final answer:

Using the guess and check method, we can determine that Theresa has 3 five-dollar bills and 11 one-dollar bills.


Step-by-step explanation:

To use the guess and check method, start by trying different combinations of the number of $5 bills and $1 bills until you find the correct combination that adds up to $26 and has a total of 14 bills. Let's try option A: 11 fives and 3 ones. 11 * $5 = $55, 3 * $1 = $3, so the total is $58, which is greater than $26. So, option A is not the correct answer. Let's try option B: 2 fives and 12 ones. 2 * $5 = $10, 12 * $1 = $12, so the total is $22, which is less than $26. So, option B is also not the correct answer. Continuing in the same way, we find that option D: 3 fives and 11 ones is the correct answer. 3 * $5 = $15, 11 * $1 = $11, so the total is $26. Therefore, Theresa has 3 fives and 11 ones.


Learn more about Guess and check method

User Squirrl
by
7.1k points