Question

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

Answer 1

Answer:

• A. 3 weeks, $160

Step-by-step 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