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7. (mp) model with mathematics taka is playing a game of darts. she sco…

Question

  1. (mp) model with mathematics taka is playing a game of darts. she scores 52 points, in the game she is playing, she gets a -3 score each time she misses the board. her final point total is 37. write and solve an equation to find out how many times she missed the board.

Explanation:

Step1: Define variable

Let \( x \) be the number of times she missed the board.

Step2: Set up equation

Her initial score is 52, and she loses 3 points each miss, so the equation is \( 52 - 3x = 37 \).

Step3: Solve for \( x \)

Subtract 52 from both sides: \( -3x = 37 - 52 \)
\( -3x = -15 \)
Divide both sides by -3: \( x = \frac{-15}{-3} = 5 \)

Answer:

The equation is \( 52 - 3x = 37 \) and she missed the board 5 times.