Question

Deborah spent $70 on food and clothes she spent $26 more on clothes then on food Brighton solve a system of equations to find how much Debra spent on each

Answer 1

Explanation:

You know the total will be $70.

She bought food, let's call that "F"

She spent $26 more on clothes than food. So her clothes purchase is "F+26".

So let's set-up the equation this way:

food + clothing = Total Spent

F + F + 26 = 70

2F + 26 = 70 (subtract 26 from both sides of the = sign)

2F = 44 (Divide both sides so you find out how much was spent on "F" or food.)

F = 22 (But the question doesn't stop there.)

Deborah spent $22 on food. (Remember, she spent $26 more on clothes, so we have to use our "clothes" equation? ) Deborah spent $48 on clothes. She spent a total of $70 on her purchases.