Math  /  Algebra

QuestionSamir sold 4 of his old Star Leaper video games at Trading Post Game Shop. Before he left, he spent $23.65\$ 23.65 of his earnings on a controller. Samir had $6.35\$ 6.35 remaining.
Which equation can you use to find the amount of money, vv, Samir received for each video game? 23.65v4=6.3523.65 v-4=6.35 4v23.65=6.354 v-23.65=6.35 4(v23.65)=6.354(v-23.65)=6.35 23.65(v4)=6.3523.65(v-4)=6.35
How much money did Samir receive for each video game? \$

Studdy Solution

STEP 1

1. Samir sold 4 video games.
2. He spent \$23.65 on a controller.
3. He had \$6.35 remaining after the purchase.
4. We need to find the amount of money, \( v \), Samir received for each video game.

STEP 2

1. Understand the relationship between earnings, spending, and remaining money.
2. Set up the correct equation.
3. Solve the equation for v v .

STEP 3

Understand the relationship between earnings, spending, and remaining money.
Samir's total earnings from selling video games minus the amount he spent on the controller equals the money he had left.

STEP 4

Set up the correct equation.
Let v v be the amount of money Samir received for each video game. Since he sold 4 video games, his total earnings are 4v 4v . After spending \$23.65, he had \$6.35 left. Therefore, the equation is:
4v23.65=6.35 4v - 23.65 = 6.35

STEP 5

Solve the equation for v v .
First, add \$23.65 to both sides to isolate the term with \( v \):
4v23.65+23.65=6.35+23.65 4v - 23.65 + 23.65 = 6.35 + 23.65 4v=30 4v = 30
Next, divide both sides by 4 to solve for v v :
v=304 v = \frac{30}{4} v=7.50 v = 7.50
Samir received $7.50\$7.50 for each video game.

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