Question

Emma and her friends played a board game that uses cards and dice to determine how many spaces they move. On her first turn, Emma rolled the dice and then played a card that increased the number of spaces she moved by 8. On her second turn, she rolled 3 times her previous roll, but her friend played a card that decreased the number of spaces she moved by 4. In the end, she moved the same number of spaces on both turns. Which equation can you use to find r, the number Emma rolled on her first turn?

1) r + 8 = 3r - 4
2) r + 8 = 3r
3) r = 8
4) r = 3r - 4

Answer 1

The equation that can be used to find the number Emma rolled on her first turn is r + 8 = 3r - 4.

Step-by-step explanation:

To find the equation that can be used to find the number Emma rolled on her first turn, we can analyze the given information. It is stated that on her first turn, Emma rolled the dice and then played a card that increased the number of spaces she moved by 8. So, the number of spaces she moved on her first turn can be represented as r + 8, where r is the number Emma rolled. On her second turn, she rolled 3 times her previous roll, but her friend played a card that decreased the number of spaces she moved by 4. So, the number of spaces she moved on her second turn is represented as 3r - 4. Since she moved the same number of spaces on both turns, we can set up the equation r + 8 = 3r - 4 to find r, the number Emma rolled on her first turn.

Therefore, the correct equation is option 1) r + 8 = 3r - 4.