Suppose Marisol has $800 in her savings account. She withdraws A dollars from her account. Deciding that this is not enough, she makes another withdrawal of B dollars. The amount of money left in her savings account now equals zero. What integers represent the withdrawals from her account? (1 point) Responses -200 and - 500 -200 and - 500 -400 and -500 -400 and -500 -100 and -800 -100 and -800 -200 and -600

Question

Suppose Marisol has $800 in her savings account. She withdraws A dollars from her account. Deciding that this is not enough, she makes another withdrawal of B dollars. The amount of money left in her savings account now equals zero. What integers represent the withdrawals from her account? (1 point) Responses -200 and - 500 -200 and - 500 -400 and -500 -400 and -500 -100 and -800 -100 and -800 -200 and -600

Answer 1

Let A be the first withdrawal and B be the second withdrawal. We know that the total amount of money left in Marisol's account is $0 after the withdrawals, so we can set up the equation:

$800 - A - B = 0.

Subtracting $800 from both sides, we get:

-A - B = -800.

Since we already know that A and B are both withdrawals, they will both be negative values. We can rewrite the equation as:

A + B = 800.

Now we need to find two integers A and B that satisfy the equation A + B = 800. One such pair of integers is A = -200 and B = -600. This means that Marisol made a withdrawal of $200 followed by a withdrawal of $600. Therefore, the correct answer is -200 and -600.