Question

A board game allows players to trade and sell game pieces of equal value. Player 1 traded three cars plus $100 for a house. Player 2 sold two houses and a car for $2300. How much is a car worth?

Answer 1

A car is worth $300

Step-by-step explanation:

A board game allows players to trade and sell game pieces of equal value

• Player 1 traded three cars plus $100 for a house
• Player 2 sold two houses and a car for $2300

We need to find how much the car is worth

Assume that the car is worth $x and the house is worth $y

∵ Player 1 traded three cars plus $100 for a house

∴ 3 x + 100 = y

- Subtract 100 from both sides

∴ 3 x = y - 100

- Subtract y from both sides

∴ 3 x - y = - 100 ⇒ (1)

∵ Player 2 sold two houses and a car for $2300

∴ x + 2 y = 2300 ⇒ (2)

Now we have system of equation to solve it

Multiply equation (1) by 2 to eliminate y

∵ 6 x - 2 y = - 200 ⇒ (3)

- Add equations (2) and (3)

∴ 7 x = 2100

- Divide both sides by 7

∴ x = 300

A car is worth $300

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

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