Question

alonzo currently has $50 in savings. he had been saving $8 each week. yesterday he spent $142 of the savings. for how many weeks had he been saving?
(a) write an equation that could be used to answer the question above. first, choose the appropriate form. then, fill in
the blanks with the numbers 50, 8, and 142. let w represent the number of weeks.
$square w + square = square$
$square w - square = square$
(b) solve the equation in part (a) to find the number of weeks.
$w = square$

Explanation:

Step1: Define total savings equation

Total savings before spending: $8w$. After spending $142, remaining savings is $50. So the equation is $8w - 142 = 50$.

Step2: Isolate the term with $w$

Add 142 to both sides:
$8w - 142 + 142 = 50 + 142$
$8w = 192$

Step3: Solve for $w$

Divide both sides by 8:
$w = \frac{192}{8}$

Answer:

(a)

$8w - 142 = 50$

(b)

$w = 24$