Question

1. joan has three times as much money as peter. together they have $40. how much money does each person have? be sure to write “let statements, write an equation and show your work algebraically!

Explanation:

Step1: Define variables with let statements

Let $x$ = Peter's money (in dollars). Let $3x$ = Joan's money (in dollars).

Step2: Set up total money equation

$x + 3x = 40$

Step3: Combine like terms

$4x = 40$

Step4: Solve for $x$

$x = \frac{40}{4} = 10$

Step5: Find Joan's money

$3x = 3 \times 10 = 30$

Answer:

Peter has $\$10$, Joan has $\$30$.