Question

Elle likes to draw while preparing for a math tournament. She spends 90 minutes every day on drawing and math. If she draws 30 minutes more than she works on math every day, which system of equations represents this situation?

a) x + y = 90, x - y = 30
b) x + y = 90, x + y = 30
c) x - y = 90, x + y = 30
d) x + y = 90, x + y = 30

Answer 1

The correct system of equations that represents the situation where Elle spends 90 minutes on drawing and math combined, with 30 minutes more on drawing is option (a): x + y = 90, x - y = 30.

Step-by-step explanation:

The question presents a scenario where Elle spends a combined total of 90 minutes each day on drawing and math practice. According to the given situation, if she spends 30 minutes more on drawing than math, to determine the amount of time elle spend on each activity, we can represent the total time spent (90 minutes) by x + y and the difference in time spent (30 minutes) by x - y, where x represents the time spent drawing and y represents the time spent on math.

We can set up two equations based on the provided information:

1. x + y = 90 (Total time spent on both activities)
2. x - y = 30 (Extra time spent on drawing compared to math)

Therefore, the correct system of equations that represents this situation is option (a): x + y = 90, x - y = 30.