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anonymous

  • one year ago

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

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  1. welshfella
    • one year ago
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    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

  2. anonymous
    • one year ago
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    70

  3. welshfella
    • one year ago
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    30 - 20x = 90 - 20 10x = 70 x = ?

  4. anonymous
    • one year ago
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    7

  5. welshfella
    • one year ago
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    right and how can you work out the amount of money after the 7 weeks

  6. welshfella
    • one year ago
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    remember y = 2x + 90 is the amount of money saved in x weels so for 7 weeks y = ?

  7. anonymous
    • one year ago
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    how do i do the money part?

  8. welshfella
    • one year ago
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    just replace the x in 20x + 90 and work it out 20*7 + 90 = ?

  9. welshfella
    • one year ago
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    * replace the x by 7

  10. anonymous
    • one year ago
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    $230

  11. welshfella
    • one year ago
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    yes

  12. welshfella
    • one year ago
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    D is the correct option

  13. anonymous
    • one year ago
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    thanks

  14. welshfella
    • one year ago
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    yw

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