Question

keisha, alan, and felipe have a total of $129 in their wallets. keisha has $9 more than alan. felipe has 4 times what alan has. how much does each have?
amount in keishas wallet: $square$
amount in alans wallet: $square$
amount in felipes wallet: $square$

Explanation:

Step1: Define variable for Alan's amount

Let $x$ = amount in Alan's wallet (in dollars).

Step2: Express others' amounts

Keisha: $x + 9$, Felipe: $4x$

Step3: Set up total sum equation

$$x + (x + 9) + 4x = 129$$

Step4: Simplify and solve for $x$

$$6x + 9 = 129$$
$$6x = 129 - 9 = 120$$
$$x = \frac{120}{6} = 20$$

Step5: Calculate each person's amount

Keisha: $20 + 9 = 29$, Felipe: $4 \times 20 = 80$

Answer:

Amount in Keisha's wallet: $\$29$
Amount in Alan's wallet: $\$20$
Amount in Felipe's wallet: $\$80$