Question

ms. black runs a game studio.
she offers workshops where students learn about different kinds of games and how to design their own games.
she designs a board game in which a card is drawn on each turn

• a blue card means move forward 4 squares.
• a red card means move back 6 squares

she begins at 0. she draws a blue card on each of her first three turns.
then, she draws only red cards and ends up back at 0. how many red cards did sia draw? enter your answer in the box
red cards.

Explanation:

Step1: Calculate the total squares moved forward

Since a blue card means move forward 4 squares and she drew a blue card on each of her first three turns, the total squares moved forward is \(4\times3 = 12\) squares.

Step2: Set up an equation to find the number of red cards

Let \(x\) be the number of red cards. A red card means move back 6 squares. She ended up at 0. So the equation is \(12-6x = 0\).

Step3: Solve the equation for \(x\)

Add \(6x\) to both sides of the equation \(12-6x = 0\) gives \(12=6x\). Then divide both sides by 6: \(x=\frac{12}{6}=2\).

Answer:

2