anonymous
  • anonymous
Katie and Pamela 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: Katie y = 30x + 20 Pamela y = 20x + 90 After how many weeks will Katie and Pamela have the same amount of money in their money boxes, and what will that amount be? A. 6 weeks, $150 B. 6 weeks, $230 C. 7 weeks, $150 D. 7 weeks, $230
Mathematics
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anonymous
  • anonymous
Katie and Pamela 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: Katie y = 30x + 20 Pamela y = 20x + 90 After how many weeks will Katie and Pamela have the same amount of money in their money boxes, and what will that amount be? A. 6 weeks, $150 B. 6 weeks, $230 C. 7 weeks, $150 D. 7 weeks, $230
Mathematics
chestercat
  • chestercat
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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welshfella
  • welshfella
this will be when the value of y is the same for both equations so we can say 30x + 20 = 20x + 90 solve for x
anonymous
  • anonymous
70
welshfella
  • welshfella
30 - 20x = 90 - 20 10x = 70 x = ?

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anonymous
  • anonymous
7
welshfella
  • welshfella
right and how can you work out the amount of money after the 7 weeks
welshfella
  • welshfella
remember y = 2x + 90 is the amount of money saved in x weels so for 7 weeks y = ?
anonymous
  • anonymous
how do i do the money part?
welshfella
  • welshfella
just replace the x in 20x + 90 and work it out 20*7 + 90 = ?
welshfella
  • welshfella
* replace the x by 7
anonymous
  • anonymous
$230
welshfella
  • welshfella
yes
welshfella
  • welshfella
D is the correct option
anonymous
  • anonymous
thanks
welshfella
  • welshfella
yw

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