Question

Nora scored three-quarters of the maximum points on a video game level. She scored a total of 105 points. Let the variable m stand for the maximum number of points possible.

(«) Use the tape diagram below to determine the maximum number of points possible.

Answer 1

To find the maximum number of points possible, represented as m, we solve the equation 3/4 * m = 105 by multiplying 105 by the reciprocal of 3/4, which gives us m = 140 points.

Step-by-step explanation:

The student's question involves solving for the maximum number of points, m, possible in a video game level, given that Nora scored three-quarters of these points, totaling 105 points. To find m, we set up the equation 3/4 * m = 105.

Solving for m, we first divide both sides of the equation by 3/4, which is equivalent to multiplying by the reciprocal 4/3. m = 105 * (4/3)

Upon performing the multiplication, we obtain: m = 140

Therefore, the maximum number of points possible on the video game level is 140 points.