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26 votes
26 votes
Abril and Alanis put some money into their money boxes every week. The amounts of money (y), in dollars, in their money boxes after certain amounts of time (x), in weeks, are shown by the equations below:

Abril
y = 50x + 10

Alanis
y = 30x + 70

After how many weeks will Abril and Alanis have the same amount of money in their money boxes, and what will that amount be? (1 point)


3 weeks, $160

3 weeks, $210

4 weeks, $160

4 weeks, $210

User Yerke
by
3.0k points

1 Answer

7 votes
7 votes

Answer:

  • A. 3 weeks, $160

Explanation:

If the value of y is same for both then we have equal right sides of equations

  • 50x + 10 = 30x + 70

Solve this for x

  • 50x - 30x = 70 - 10
  • 20x = 60
  • x = 60/20
  • x = 3

Find the value of y

  • y = 50*3 + 10 = 150 + 10 = 160

Correct choice is A

User Mirazimi
by
3.1k points