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.
1 answer:
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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