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Maria and victor each play a video game. The ratio of the number of points Maria scores to the number of points victor scores is 5 to 3. Maria scores 424 more points than Victor scores. How many points did Maria score? Construct a tape diagram to answer the problem.

Maria and victor each play a video game The ratio of the number of points Maria scores to the number of points victor scores is 5 to 3 Maria scores 424 more poi class=

Respuesta :

jcherry99

Answer:

Step-by-step explanation:

I don't know what a tape diagram is but I can give you the equation and the answer.

Let Victor have x points

Let Maria have y points

y = x + 424

y/x = 5/3                     Cross multiply

3y = 5x                       Divide by 3

y = 5x/3                      I Could have just multiplied by x

y = x + 424

5x/3 = x + 424           Multiply both sides by 3

5x = 3x + 1272           Subtract 3x from both sides.

5x-3x = 1272              Combine the left.

2x = 1272                    Divide by 2

2x/2 = 1272/2

x = 636

Victor Scored 636 points

Maria Scored 636 + 424 = 1060

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