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:

Question

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

Answer 1

To find out when Abril and Alanis will have the same amount of money, we need to set their equations equal to each other and solve for x:

50x + 10 = 30x + 70
20x = 60
x = 3

So, after 3 weeks, Abril and Alanis will have the same amount of money in their money boxes. To find out what that amount is, plug x = 3 into either equation:

y = 50(3) + 10
y = 150 + 10
y = 160

Therefore, after 3 weeks, Abril and Alanis will have $160 in their money boxes. So the correct answer is:

3 weeks, $160