Answered

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?

3 weeks, $160

3 weeks, $210

4 weeks, $160

4 weeks, $210

Answer :

bubbawebb2004
3 week 160 just add the value after finding the value of x 

Answer:

3 weeks, $160

Step-by-step explanation:

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  : [tex]y = 50x + 10[/tex]

Alanis  :[tex]y = 30x + 70[/tex]

Now to calculate After how many weeks will Abril and Alanis have the same amount of money in their money boxes.

[tex] 50x + 10= 30x + 70[/tex]

[tex] 50x - 30x = 70-10[/tex]

[tex] 20x = 60[/tex]

[tex]x = \frac{60}{20}[/tex]

[tex]x =3[/tex]

At x = 3

[tex]y = 50(3)+ 10[/tex]      

[tex]y = 150+ 10[/tex]

[tex]y = 160[/tex]

Thus after 3 weeks  Abril and Alanis have the same amount of money in their money boxes, and the amount will be 160.

Option A is correct.

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